Verifying Inverse Function Derivatives Numerically
Learn how to verify inverse function derivatives numerically using function values, slopes, reciprocals, and finite differences for AP Calculus AB & BC.
The Chain Rule: An Introduction
How the chain rule actually works, with a step-by-step method and fully worked examples for AP Calculus AB & BC.
The Chain Rule with Trigonometric Functions
Learn how to use the chain rule with sine, cosine, tangent, and other trigonometric functions, with step-by-step examples for AP Calculus AB & BC.
The Chain Rule with Exponential and Logarithmic Functions
Learn how to use the chain rule with exponential and logarithmic functions, including e^u, a^u, ln(u), and logarithms with arbitrary bases. Includes fully worked AP Calculus AB & BC examples and practice problems.
The Chain Rule in Multi-Step Compositions
Learn how to differentiate multi-step composite functions using the chain rule, with a layer-by-layer method and fully worked examples for AP Calculus AB & BC.
Selecting the Correct Differentiation Rule
Learn how to identify the correct differentiation rule for AP Calculus problems, including the power, product, quotient, chain, exponential, logarithmic, and trigonometric rules.
Related Application: Slopes of Implicitly Defined Curves
Learn how to find the slope of an implicitly defined curve at a point, with step-by-step examples and AP Calculus AB & BC practice.
Practice Problem Set: Inverse Function Derivatives
Practice inverse function derivative problems for AP Calculus AB & BC, with worked answers covering the inverse function derivative formula, numerical evaluation, and related applications.
Practice Problem Set: Chain Rule and Implicit Differentiation
Practice problems covering the chain rule and implicit differentiation, with worked answers for AP Calculus AB & BC.
Mixed Review: Composite and Implicit Differentiation
A mixed AP Calculus review of composite and implicit differentiation, with step-by-step examples, combined rules, common mistakes, and practice problems.