Derivation of arcsinh(x) the Inverse Hyperbolic Sine Function

Find the Hydronium Ion Concentration given the pH

Related Rates Revenue Word Problem

Find the Total Differential of the Multivariate Function f(x,y,z) = e^(x...

Find the pH given the Hydronium Ion and determine if Acidic or Alkaline

Find the Minimum and Maximum Usual Values

Total Differential of Multivariate Function f(x, y) = x^3y^4 + x^2y^3 + 12

Determining if a vector is a linear combination of other vectors

Related Rates Melting Snowball

Related Rates Melting Snowball

First Order Partial Derivatives of f(x, y) = ln(x^4 + y^4)

Indefinite Integral of 1/(1-sin(x))

Derivative of arcsin(x) derivation

Derivative of f(x) = sqrt(ln(x))

Find dy/dx given y^4 - x^2 = 2

Derivative of natural logarithm with chain rule example

Finding dy/dx at specified values

First Order Partial Derivatives of f(x,y) = x^4 6x^2y^2 2y^3 - 3x^2

Optimization Maximum Profit Word Problem

Optimization Maximum Revenue Word Problem

Find the Cost Function given the Marginal Cost and Fixed Costs

Maclaurin Series of f(x) = sin(3x)cos(3x) using Identities

Time it takes to double your money Compound Interest

Demand Equation Find dp/dx and Interpret Word Problem

Midpoint of the line connecting (-2, 5) and (6, 7)

Midpoint of the line segment connecting (1, 3) and (4, 5)

Taylor Series for f(x) = e^x centered at c = pi using the definition

Maclaurin Series of 1/(1 + x)^4 using the Binomial Series

Indefinite Integral of 1/(1-cos(x))

Coefficient of Variation Example and Explanation

Related Rates Maximum Profit Word Problem

Maclaurin Series for e^(2x)

Maclaurin Series for xcos(2x)

Computing z-scores(standard scores) and comparing them

Understanding z-scores(standard scores) as a measure of relative standing

Converges or Diverges? sum( (-1)^n n/ln(n + 1), n = 1, 2, ...)

Converges or Diverges? sum( (-1)^n/e^n, n = 1, 2, ...)

Maclaurin Series for sin(x^3)

Converges or Diverges? sum( (-1)^n (n + 1)/n, n = 1, 2, ...)

Calculus Infinite Limits xsec(x) as x approaches pi/2 from the right

Calculus Infinite Limits (4 + x)/(x - 2) as x approaches 2 from the right

Calculus Infinite Limits -3/(x - 1)^2 as x approaches 1 from the left

Calculus Infinite Limits 1/(x - 3) as x approaches 3 from the right

Parametric Equations and Calculus

Frequency Table and Class Width Example

How to Prove a Set is a Subspace of a Vector Space

How to Prove a Function is Surjective(Onto)

Unit Tangent Vector for Vector-Valued Function

Super Fast Way to Find the Inverse Function

Integration with u-substitution the Antiderivative of (1/x^2)sin(1/x)

Convert the rectangular equation 3x - 2y = 11 into polar form

Graphing a hyperbola that opens left and right

Integration with u-substitution the antiderivative of sech^5(x)tanh(x)

Derivative of h(x) = 3^x * ln(x) using the product rule

Derivative of h(x) = 3^x * ln(x) using the product rule

Converting the polar equation r = 8/(cos(theta) + sin(theta)) into polar...

Listing the possible rational roots/zeros

Converting the polar equation r = -8csc(theta) into rectangular form

Converting the polar equation r = -6sin(theta) - 6cos(theta) into rectan...

Finding the z-score of x with the formula

Converting the polar equation r = sec(theta) into rectangular form

The Constant of Integration is ALWAYS Zero

Find x given the z-score, sample mean, and sample standard deviation

Converting the Polar Equation r = 3sin(theta) into Rectangular Form

Sum of Harmonic Numbers Induction Proof

Group Theory Proof: If g^n = e then the order of g divides n

Direct Image of Intersection of Sets under an Injective Function Proof

Group Theory Proof: The order of x is the order of x inverse

Proof that if g o f is Injective(one-to-one) then f is Injective(one-to-...

Preimage(Inverse Image) Explanation and Intersection of Sets Proof

Matrix Powers Induction Proof (PDP^(-1))^n = PD^nP^(-1)

Equation of Tangent Line to Graph of arctan(xy) = arcsin(x + y) at (0,0)

Definite Integral of a Vector-Valued Function

Indefinite Integral of a Vector-Valued Function Example 2

Indefinite Integral of a Vector-Valued Function Example 1

Writing cos(arcsin((a - b)/c)) in Algebraic Form

Writing the Trigonometric Function sec(arctan(4x)) as an Algebraic Expre...

Finding the Gradient of a Multivariate Function Example 3

Finding the Gradient of a Multivariate Function Example 2

Gradient of a Multivariate Function Example 1

Second Derivative of Vector-Valued Function Example 2

Second Derivative of Vector-Valued Function Example 1

Derivative of Vector-Valued Function r(t) = (arctan(e^t), arccos(t^3), s...

Derivative of Vector-Valued Function r(t) = e^(3t)i + cos^2(4t)j + sqrt(...

Derivative of Vector-Valued Function r(t) = sqrt(t)i + (1 - t^3)j + sec(...

Limit of a Vector-Valued Function as t approaches Infinity

Limit of a Vector-Valued Function Example

Equation of the Sphere in Standard Form, Center, and Radius

Equation of Sphere given Endpoints of Diameter

Equation of Sphere with Radius 3 and Center (3, -1, 0)

Equation of Sphere with Radius 2 and Center (4, 2, -3)

Distance between Two Points in Space (-3, 2, 5) and (4, 0, 8)

Distance between Two Points in Space (3, 1, 4) and (2, -1, 3)

Dot Product of Vectors given Magnitudes and Angle between them

Angle between vectors u = i - 3j + k and v = 2i + 4j - k

Angle between Vectors u = (3, 1) and v = (2, -1)

Angle between Vectors u = (3, 1) and v = (2, -1)

Unit Vector in the Direction of v = (3, 2, 4) and Opposite of v

Vector with Magnitude 3 in the Direction of u = (1, 2, 3)

Vector with Magnitude 3 in the Direction of u = (1, 2)

Vector with Magnitude 4 in the Direction of u = (0, 3)

Unit Vector in Direction of v = (-1, 3)

Unit Vector in the Direction of v = (4, 7)

Determine if the Vectors are Orthogonal

Magnitude of the Vector v = (3, 0, 4)

Magnitude of the Vector v = -2i + 3j + 4k

Magnitude of the Vector v = -2i + 3j + 4k

Magnitude of the Vector v = (3, -2, 1)

Magnitude of the Vector v = 2i - k

Magnitude of the Vector v = 2i + 3j

Dot Product of the Vectors u = 3i + 2j + 4k and v = -i + j

Dot Product of the Vectors u = (1, 2, 4) and v = (-3, -2, 0)

Dot Product of the Vectors u = (3, 6) and v = (-2, 4)

Dot Product of the Vectors u = (3, 6) and v = (-2, 4)

Inverse Image(Preimage) of Intersection of Sets Proof

Kernel of a Group Homomorphism is a Subgroup Proof

Complex Analysis Laurent Series Example

Laurent Series for f(z) = 1/(z z^2) for |z| greater than 1

Disk(Washer) Method Volume of Solid y = x, y = 0, x = 4 about x = 5

Principle of Mathematical Induction Inequality Proof Video

Derivative of a Constant Function is Zero Proof

Direct Image of Union of Sets Proof: f(A U B) = f(A) U f(B)

Laurent Series of f(z) = 1/(z + z^2) in the punctured unit disk

Cyclic Groups Proof: If x is a generator so is its inverse

Points at which Curve(Cycloid) is not Smooth

P-Test and Comparison Test for Integrals Four Examples

Dividing using Long Division (3x^2 + 2x + 5)/(x + 6)

Inverse of Exponential Function f(x) = ln(x - 4) + 2

Solving an Exponential Equation (1/8)^(x + 2) = 32^x

Solving an Equation with a Square Root x - 4 = sqrt(3x - 8)

Shell Method Volume of Solid y = x, y = 0, x = 4 about x = 5

Inverse of Logarithmic Function f(x) = 4log_3(x + 7) - 9

Inverse of Rational Function f(x) = (3x + 2)/(x - 9)

Inverse of Exponential Function f(x) = 2^(x - 6) + 8

Inverse of Logarithmic Function f(x) = 7log_3(x + 1) - 6

Solving 2x^2 - 3x + 1 = 0 using the Quadratic Formula

Finding a_n in a geometric sequence given a_3 and a_8

Finding a_n for a geometric sequence given the first four terms

Inverse of Rational Function f(x) = 2/(x - 3)

Inverse of Rational Function f(x) = 2/(x - 3)

Finding a_6 given a geometric sequence with a_4 and r

Tangent Lines given Parametric Equations

Improper Integral with Two Infinite Limits

Graphing a Rational Function

Concavity and Slope given Parametric Equations

Derivative of f(x) = 1/x Using the Limit Definition

Equation with Two Absolute Values

Proof that if g o f is Surjective(Onto) then g is Surjective(Onto)

Concavity and Parametric Equations Example

Graphing the Inverse Function of f(x) = sqrt(x + 6)

Finding a_1 and r in a geometric sequence given a_2 and a_7

Graphing a Piecewise Function

Arc Length Parametric Equations x = 2cos(t), y = 2sin(t) over [0, 2pi]

Find dy/dx given Parametric Equations x = sin^2(theta), y = cos^2(theta)

Equation of Line Passing through (1,-4) and Perpendicular to x = 4

Equation of Line Passing through (-5,7) and Perpendicular to y = -2

Equation of Line Passing Through (-1,4) and Parallel to x + 3y = 5

Combinations Problem Apples in a Crate

Equation of Line Passing through (1,6) and Perpendicular to 3x + 5y = 1

Converting the Polar Equation r = cot(theta)csc(theta) Into Rectangular ...

Converting the Rectangular Equation 3x - y + 2 = 0 Into Polar Form

Converting the Rectangular Equation x^2 + y^2 = 4 into Polar Form

Solving an Equation with Negative Exponents

Limit of (e^x + x)^(3/x) L'Hopital's Example

Find dy/dx given Parametric Equations x = t^2, y = 7 - 6t

Converting the Rectangular Equation y^2 = 3x Into Polar Form

Kernel of a Group Homomorphism is a Normal Subgroup Proof

Limit as x approaches zero of (x^2 + 3x)/x

Laurent Series of f(z) = 1/(z - 3) in the Region |z| greater than 3

Relations, Cosets, Lagrange's Theorem

Second Isomorphism Theorem for Groups Proof

First Isomorphism Theorem for Groups Proof

If G is Cyclic so is G/H Proof

Direct Product of Normal Subgroups is Normal Proof

Groups of Prime Order p are Cyclic with p-1 Generators Proof

Proof that o(x) divides |G| if G is Finite

Proof of Lemma and Lagrange's Theorem

Cosets are Equivalence Classes Two Proofs

Equivalence Relation on a Group Two Proofs

Equivalence Classes Partition a Set Proof

Equivalence Relations Definition and Examples

A Group Homomorphism is Injective iff it's Kernel is Trivial Proof

Intersection of Two Normal Subgroups is Normal Proof

Proof that f(x) = xg_0 is a Bijection

I is a Maximal Ideal iff R/I is a Field Proof

I is a Prime Ideal iff R/I is an Integral Domain Proof

Inverse Image of a Normal Subgroup Proof

Epimorphic Image of a Normal Subgroup Proof

Binary Operations More Examples Video

Half-Life Exponential Decay Word Problem

System of Equations with Three Equations and Three Variables

Inverse of Exponential Function

Finding the Equation of the Circle given the Center and a Point

Inverse of Rational Function Harder Example

Inverse Image of a Subgroup is a Subgroup Proof

Direct Image of a Subgroup is a Subgroup Proof

If G is Isomorphic to H then G is Cyclic iff H is Cyclic Proof

Binary Operations

If G is Isomorphic to H then G is Abelian iff H is Abelian Proof

The Symmetric Difference is Associative Proof Video

Associative Binary Operations and Examples Video

Definition of Binary Operation, Commutativity, and Examples Video

Average Rate of Change of a Function Video

Equation of a Line Given a Point and a Perpendicular Line

Finding the Inverse of the Rational Function f(x) = 5/x

Inverse of Cubic Function Intuitive Solution and Algebraic Solution

Finding the Inverse of the Linear Function f(x) = x + 2

Solving a Linear Equation with Fractions Example 3

Solving a Linear Equation with Fractions Example 2

Solving a Linear Equation with Fractions Example 1

Solving a Linear Equation Example 12

Solving a Linear Equation Example 11

Solving a Linear Equation Example 10

Tangent Lines of f(x) = x^3 Parallel to y = 12x + 7

Calculus Impact Velocity

Finding the Equation of the Parabola using Calculus

Find k such that y = 4x + 4 is tangent to f(x) = k*sqrt(x)

Related Rates

Related Rates The Volume of a Sphere

Related Rates The Volume of a Cone

Related Rates The Volume of a Cube

Hyperbola with Foci (-9, 0), (9, 0) and Vertices (-4, 0), (4, 0)

Hyperbola with Foci (-3, 0), (1, 0) and Vertices (-2, 0), (0,0)

Hyperbola with Vertices (-6, 0), (6, 0) and Asymptotes y = +/- (4/3)x

Hyperbola with Vertices (0, 1), (0, -1) and Asymptotes y = /- (1/3)x

Linear and Rational Equations

Finding the Domain, Range, and Asymptotes from a Graph

Solving a Linear Equation Example 9

Solving a Linear Equation Example 8

Solving a Linear Equation Example 7

Solving a Linear Equation Example 6

Solving a Linear Equation Example 5

Solving a Linear Equation Example 4

Solving a Linear Equation Example 3

Solving a Linear Equation Example 1

Series Solutions Differential Equations y'' - y' = 0

Extended Fundamental Theorem of Calculus

Arithmetic Sequences

How To Use Simpson's Rule

Derivative of x^x and x^(x^x)

Root Test For Infinite Series Examples

Definite Integral Using Limit Definition

How To Use The Trapezoid Rule

Computing the Sums of Finite Series with Formulas

Computing Terms in a Recursive Sequence Fibonnaci Example

Computing Terms in a Recursive Sequence

Sum Of A Finite Series Example 3

Sum Of A Finite Series Example 2

Sum Of A Finite Series Example 1

Finding the first five terms of a sequence Example 4

Finding the first five terms of a sequence Example 3

Finding the first five terms of a sequence Example 2

Finding the first five terms of a sequence Example 1

How To Use The Change Of Base Formula For Logarithms

Condensing Using The Properties Of Logarithms Example 14

Condensing Using The Properties Of Logarithms Example 13

Condensing Using The Properties Of Logarithms Example 12

Condensing Using The Properties Of Logarithms Example 11

Condensing Using The Properties Of Logarithms Example 10

Condensing Using The Properties Of Logarithms Example 9

Condensing Using The Properties Of Logarithms Example 7

Condensing Using The Properties Of Logarithms Example 6

Condensing Using The Properties Of Logarithms Example 5

Condensing Using The Properties Of Logarithms Example 4

Condensing Using The Properties Of Logarithms Example 2

Condensing Using The Properties Of Logarithms Example 1

Condensing Using The Properties Of Logarithms Example 1

Expanding Using The Properties Of Logarithms Example 11

Expanding Using The Properties Of Logarithms Example 10

Expanding Using The Properties Of Logarithms Example 9

Expanding Using The Properties Of Logarithms Example 8

Expanding Using The Properties Of Logarithms Example 7

Expanding Using The Properties Of Logarithms Example 6

Expanding Using The Properties Of Logarithms Example 5

Expanding Using The Properties Of Logarithms Example 4

Expanding Using The Properties Of Logarithms Example 3

Expanding Using The Properties Of Logarithms Example 2

Expanding Using The Properties of Logarithms Example 1

Expanding Using The Properties of Logarithms Examples

Separable Differential Equation Initial Value Problem

The Composition of Surjective(Onto) Functions is Surjective Proof

How To Find A Power Series By Differentiating

Geometric Power Series And The Interval Of Convergence

How To Find The Interval And Radius Of Convergence

How To Find A Taylor Polynomial Using The Definition

How To Use The Ratio Test

Concavity and Inflection Points

Relative Extrema Using The Second Derivative Test

Calculus Limits at Infinity with Square Roots

Calculus Limits at Infinity Three Easy Examples

How To Use Newton's Method

Calculus Solving a Differential Equation(Initial Value Problem)

Integration with u-substitution the Integral of (17 + 1/x)^6*(1/x^2)

Integration with u-substitution the Integral of (17 + 1/x)^6*(1/x^2)

Integration with u-substitution the Integral of sec^2(sin(3x))cos(3x)

Calculus The Integral of cos(x)/(1 - cos^2(x))

Integration with u-substitution the Integral of sqrt(tan(4x))sec^2(4x)

Integration with u-substitution the Integral of (x - 6)/sqrt(x^2 - 12x + 2)

Integration with u-substitution the Integral of 3x/(x^2 + 17)^5

Differentials A Simple Example

How to Multiply Cycles in the Symmetric Group S_5

How To Use The Integral Test For Infinite Series

How To Use The P-Test For Infinite Series

What Does It Mean For A Series To Converge?

Partial Fraction Decomposition

Proof that the Absolute Value Function is Not Differentiable at Zero

Find the Partial Fraction Decomposition 3x/((x + 1)(x^2 + 1))

Find the Partial Fraction Decomposition 2x/((x - 1)(x + 2)

How to Set Up the Partial Fraction Decomposition

Finding the Inverse of a 2x2 Matrix Examples

Finding a Limit Using L'Hopital's Rule sin(pix)/(x^2 - 1) as x approaches 1

Finding a Limit Using L'Hopital's Rule (e^(x) - e^(-x))/x as x approache...

Finding the Limit Using L'Hopital's Rule tan(3x)/ln(1 + x) as x approach...

Finding a Limit Using L'Hopital's Rule (x - 8)/(x^(1/3) - 2) as x approa...

Solving the Logarithm Equation log(A) = log(B) - C*log(x) for A

Implicit Differentiation How to Find dy/dx: 1/x + 1/y = 3

Proof that Z x Z is not a cyclic group

Direct Products of Finite Cylic Groups Video 2

Inverse Trigonometric Functions - Derivatives

Proof that (R, +) is not a Cyclic Group

The Number of Subsets of a Finite Set Binomial Theorem Proof

Inverse Trigonometric Derivatives f(x) = arcsec(x/2)

Inverse Trigonometric Derivatives f(x) = arcsin(e^x)

Inverse Trigonometric Derivatives f(x) = arcsin(sqrt(x))

Inverse Trigonometric Derivatives f(x) = sqrt(arcsin(x))

Inverse Trigonometric Derivatives f(x) = arccos(2x + 1)

Inverse Trigonometric Derivatives f(x) = arctan(lnx)

Inverse Trigonometric Derivatives f(x) = e^(arctan(x))

Inverse Trigonometric Derivatives f(x) = arctan(x^2)

Inverse Trigonometric Derivatives f(x) = arctan(4x)

Integration with u-substitution the Integral of (2 - 3x)^10

Solving the Exponential Equation 6^(x - 2) = 1

Solving the Exponential Equation e^(3x - 1) = (e^x)^2

Solving the Exponential Equation 2^(4 - x) = 8

The Derivative of h(x) = 2*sec^2(x)*tan(x) Product Rule Example

Integration with u-substitution the Integral of sin(x)/(3 + cos(x))^2

Using Tabular Integration to Integrate x^4*e^(-x)

Solving the Logarithmic Equation (logx)^2 -6*logx = 7

Solving the Logarithmic Equation (lnx)^2 + 16 = 10*lnx

Finding a Limit Using L'Hopital's Rule (e^x - 1)/x as x approaches zero

Finding a Limit Using L'Hopital's Rule x*cot(x) as x approaches zero

Finding a Limit Using L'Hopital's Rule e^(-x)*ln(x) as x approaches infi...

The Improper Integral of e^(-x) from 0 to Infinity

Verifying a Trigonometric Identity cos(x)/(sin(x)cot(x)) = 1

Logarithmic Equations

Optimization The Rectangle with Maximum Area

Exponential Equations

Solving the Exponential Equation e^(2x) - 6*e^(x) + 8 = 0

Solving the Exponential Equation 5^(2x + 1) = 25

Solving the Logarithmic Equation log_2(log_2(x))) = 1

Solving the Logarithmic Equation r = p - k*ln(t) for t

Solving the Logarithmic Equation log(x) = sqrt(log(x))

Solving the Logarithmic Equation ln(ln(x)) = 0

Solving the Logarithmic Equation ln(2x) = 5

Verifying a Trigonometric Identity sin^2(x)/cos(x) = sec(x) - cos(x)

Verifying a Trigonometric Identity (1 - sin^2(x))/cos(x) = cos(x)

Verifying a Trigonometric Identity sin^2(x)*(1 + cot^2(x)) = 1

Verifying a Trigonometric Identity (cos(x) + 1)/tan^2(x) = cos(x)/(sec(x...

Verifying a Trigonometric Identity (tan^2(x) + 1)/sec(x) = sec(x)

Verifying a Trigonometric Identity cos^2(x)*(tan^2(x) + 1) = 1

Verifying a Trigonometric Identity tan(x)/sec(x) = sin(x)

Verifying a Trigonometric Identity cot(x)/csc(x) = cos(x)

Solving the Logarithmic Equation 5*ln(x) = 10

The Center of a Subgroup of GL(2, C) Proof

The nth Term Test Explanation and Several Examples

How to Graph the Hyperbolic Cosine f(x) = cosh(x)

The Probability of Not Rolling a Sum of 8

The Probability of Rolling a Sum of 7

If a job has four applicants, how many ways to hire two of them?

The Super Formula for Infinite Geometric Series

Computing the Sum of an Infinite Geometric Series: Sum( 2*(1/3)^n, n = 3...

Infinite Geometric Series Finding the Sum Two Examples

Finding the Laplace Transform of f(t) = sin(2t) + sin(4t) + cos(7t) + e^...

Finding the Laplace Transform of f(t) = 2cos(3t) - 8sin(2t) + cosh(5t) +...

Finding the Laplace Transform of f(t) = cos(4t) - sin(7t) + e^(-t)

Finding the Laplace Transform of f(t) = (t + 2)^3

Finding the Laplace Transform of f(t) = e^(4t) * cosh(7t)

Finding the Laplace Transform of f(x) = cos^2(3x)

Finding the Laplace Transform of f(t) = sinh(3t) + cosh(8t)

Finding the Laplace Transform of f(t) = sinh(3t) + cosh(8t)

Finding the Laplace Transform of f(t) = 3 + 4t - 5t^2 + 7t^3

Finding the Laplace Transform of f(t) = 1 + t + t^2 + t^3

Finding the Laplace Transform of f(t) = 3 + 4t - 5t^2 + 7t^3

Finding the Laplace Transform of f(t) = sin(2t)*cos(2t)

Finding the Laplace Transform of f(t) = sin(2t)*cos(2t)

Finding the Laplace Transform of f(t) = e^t * sinh(t)

Finding the Laplace Transform of f(t) = 3t^2 - 5sin(2t)

Finding the Laplace Transform of f(t) = 1 + e^(3t)

Finding the Laplace Transform of f(t) = 1 + e^(3t)

Finding the Laplace Transform of f(t) = 1 + e^(3t)

Laplace Transforms

Finding the Laplace Transform of a Piecewise Function

Finding the Laplace Transform of f(t) = t^2 + 3t - 4

Systems of Equations

Systems of Equations Two Variables Two Equations Infinitely Many Solutions

Systems of Equations with Elimination Two Variables Two Equations Example 2

Systems of Equations with Elimination Two Variables Two Equations Example 2

Systems of Equations with Elimination Two Variables Two Equations Example 1

Systems of Equations with Substitution Two Variables Two Equations Examp...

Systems of Equations with Substitution Two Variables Two Equations Examp...

The Klein Four-Group

Calculus Proof of the nth Term Test for Divergence

Calculus Limits at Infinity The Limit of 2/(4x + sin(x)) as x approaches...

Calculus Limits at Infinity The Limit of x/sqrt(x^2 - x) as x approaches...

Calculus Limits at Infinity The Limit of 8x^2/(x + 1) as x approaches ne...

Calculus Limits at Infinity The Limit of (4x^3 + x)/(5x^3 + 4) as x appr...

Calculus Limits at Infinity The Limit of (x^9 - 1)/(x^(10) + 4) as x app...

Calculus Limits at Infinity Rational Functions Four Easy Examples

L'Hopital's Rule

Integration by u-substitution

Proof that the Kernel of a Linear Transformation is a Subspace

Calculus Relative Maximum, Minimum, Increasing, Decreasing h(x) = (x + 4...

Rolle's Theorem

A Finite Nonempty Subset of G Closed under the Group Operation is a Subg...

Group Theory: The Center of a Group G is a Subgroup of G Proof

Group Theory: The Center of a Group G is a Subgroup of G Proof

Group Theory: Proof of the Formula for the Inverse of a Product

Finding value(s) of c in the Mean Value Theorem for f(x) = sin(x) on [-p...

Find the X-Values at which f(x) = sqrt(3)*x + cos(x) has a Horizontal Ta...

Can Rolle's Theorem be Applied to f(x) = tan(x) on [0, pi]?

Can Rolle's Theorem be Applied to f(x) = cos(x) on [-pi/2, pi/2]?

Can Rolle's Theorem be Applied to f(x) = |x + 2| on [2, 7]?

Can Rolle's Theorem be Applied to f(x) = |x| - 9 on [-5,5]?

Absolute and Relative Extrema From a Graph Explained Intuitively

Finding the Eccentricity of the Conic Section x^2 - 4y^2 = 8

Finding the Eccentricity of the Conic Section 7x^2 + 16y^2 = 112

Finding the Eccentricity of the Conic Section 7x^2 + 16y^2 = 112

Finding the Equation of the Hyperbola Given the Center, Focus, and a Vertex

Finding the Equation of a Hyperbola Given the Vertices and a Point

Finding the Equation of a Hyperbola Given the Vertices, Asymptotes, and ...

Finding the Equation of a Hyperbola Example 1

Finding the Equation of an Ellipse Example 3

Finding the Equation of an Ellipse Example 2

Finding the Equation of an Ellipse Example 1

Finding the Equation of an Ellipse Given the X-Intercepts and Vertices

Finding the Center and Radius of the Circle 4x^2 - 24x + 4y^2 - 21y + 21...

Finding the Equation of the Parabola Given the Focus and Directrix

Finding the Focus, Directrix, and Axis of Symmetry of a Parabola Example 2

Finding the Focus, Directrix, and Axis of Symmetry of a Parabola Example 1

Ellipses: Tallest Truck that Fits through an Overpass Without Crashing

Finding the Center-Radius Form of a Circle Given the Center and a Point

Finding the Equation of the Parabola Given a Point and the Vertex

Finding the Equation of the Parabola Given the Focus and the Vertex Exam...

Finding the Equation of the Parabola Given the Focus and Vertex Example 1

Finding the Center-Radius Form of a Circle given the Center and a Tangen...

Finding the Center-Radius Form of a Circle the Given Endpoints of the Di...

Finding the Center-Radius Form of a Circle Example 3

Finding the Center-Radius Form of a Circle Example 2

Finding the Center-Radius Form of a Circle Example 1

Finding the Derivative of f(x) = (1 - 2x - x^2)/(x^4 - 1)

Finding the Derivative of f(x) = (7x^3 + 2x^2 + x)/x

Finding the Derivative of f(x) = 5x^2cot(x) - 6csc(7x)

Finding the Derivative of f(x) = 5(1 - sin(x))/(2cos(x))

Finding the Derivative Practice Problems Example 1

Finding the Composition of Two Functions Example 1

Using a Graph to find Minimum and where the Function is Increasing and D...

Method of Undetermined Coefficients

Method of Undetermined Coefficients Solving y'' - y' = 3

Method of Undetermined Coefficients Explained Part 2

Method of Undetermined Coefficients Explained Part 1

If f and it's conjugate are analytic in a domain, then f is constant, Proof

The Indefinite Integral of (e^(-3x) + 3)^2

Integration with u-substitution the Integral of ln(2x)/x

Integration with u-substitution the Integral of 5x*cos(x^2)

Trigonometric Integrals the Integral of cos^3(x)*sqrt(sinx)

Finding the Limit of (x^2 + 3)/cotx as x approaches zero

Trigonometric Integrals the Integral of sin(5x)*cos(4x)

Proof that 1 = -1

The Power of Calculus Proves 2 = 1

Trigonometric Substitution the Integral of x^2/sqrt(2x-x^2)

Principle of Mathematical Induction sum(1/(i(i + 1)), i = 1,..., n) = n/...

Trigonometric Integrals Powers of Secant and Tangent tan^4(x)

Trigonometric Integrals Powers of Secant and Tangent sec^4(2x)tan^4(2x)

Integration with u-substitution the Integral of 9x^2/sqrt(x^3 + 7)

Principle of Mathematical Induction (ab)^n = a^n*b^n Proof

Principle of Mathematical Induction The Sum of the First n Integers Proof

Inverse of a 2x2 Matrix Example

Solving a System of Equations with a Matrix Equation

Proof that the identity element of a group is unique

Proof that inverses in a group are unique

Proof that every convergent sequence is bounded

Proof of the formula for the sum of the first n integers

Calculus Product Rule Example 1

Calculus Chain Rule Example 1

Calculus Chain Rule Example 2

Calculus Chain Rule Example 3

Expanding using the Binomial Theorem

Finding a limit using the Squeeze Theorem

Series Convergence and Divergence Using The nth Term Test

Integration by Parts The Integral of lnx

Integration by Parts the Integral of arctanx

Finding the equation of the tangent line for f(x) = x^(coshx) at (1,1)

Every Cyclic Group is Abelian Proof

If x^2 = e for all x in G then G is an abelian group proof

Graphing a Piecewise Function and Finding the Domain and Range

Writing a Parabola in Vertex Form

Graphing an Absolute Value Function

Determine if the differential equation is exact Example 1

Determine if the differential equation is exact Example 2

Determine if the differential equation is exact Example 3