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