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)