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Calculus Basics

Calculus Theorems

Calculus Review of Trigonometric Identities

Calculus Symbols and Notations

Chain Rule Variations

Conic Sections and Quadratic Equations

Implicit Differentiation

Hyperbolic Functions

Infinite Series Convergence Tests

Laplace Transforms

Partial Derivatives

Parametric Equations

Polar Coordinates and Graphs

Taylor and Maclaurin Series

Stokes' Theorem and Surface Integrals

Hyperbolic Functions

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Integral of Hyperbolic Tangent

The integral of $\tanh(x)$ is $\ln |\cosh(x)| + C$ .

Derivative of Hyperbolic Sine

The derivative of $\sinh(x)$ is $\cosh(x)$ .

Integral of Hyperbolic Cosine

The integral of $\cosh(x)$ is $\sinh(x) + C$ .

Integral of Hyperbolic Sine

The integral of $\sinh(x)$ is $\cosh(x) + C$ .

Derivative of Hyperbolic Secant

The derivative of $\text{sech}(x)$ is $-\text{sech}(x)\tanh(x)$ .

Integral of Hyperbolic Secant

The integral of $\text{sech}(x)$ is $2\arctan(e^x) + C$ .

Integral of Hyperbolic Cosecant

The integral of $\text{csch}(x)$ is $\ln |\tanh(x/2)| + C$ .

Derivative of Hyperbolic Cosine

The derivative of $\cosh(x)$ is $\sinh(x)$ .

Derivative of Hyperbolic Tangent

The derivative of $\tanh(x)$ is $\text{sech}^2(x)$ .

Derivative of Hyperbolic Cosecant

The derivative of $\text{csch}(x)$ is $-\text{csch}(x)\coth(x)$ .

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