Application Of The Ratio Test

Alternating Series Test Purpose

General Form of a Power Series

Power Series Interval of Convergence

Second Fundamental Theorem and Chain Rule

Higher-Order Derivative Notation

Derivative of an Implicit Function

Suppose $$f(x)=\frac{x}{x+1}$$ with inverse function $$g(x)$$. Use the derivative formula for an inverse function to compute $$g'(1/2)$$.

Second Derivative of a Composite Sine Function

Derivative of an Inverse Function

If $$f(x)=x^3+1$$ and $$g$$ is its inverse function, find $$g'(2)$$.

Differentiate $$y = \left(x+x^{2}+x^{3}\right)^{1/2}$$, which can also be written as $$y = \sqrt{\sum_{k=1}^{3} x^{k}}.$$

Vertical Tangent of a Root Function

Tangent Line Equation

Quotient Rule For Differentiation

Definition of Differentiability

Derivative Expression With Product Rule

Motivation for the Concept of a Limit

Limit of a Squared Function

Squeeze Theorem Application