Logarithmic Differentiation
Learn logarithmic differentiation step by step, including products, quotients, variable powers, and fully worked AP Calculus examples.
Implicit Differentiation: An Introduction
Learn how implicit differentiation works, why dy/dx appears when differentiating terms involving y, and how to solve fully worked AP Calculus examples step by step.
Implicit Differentiation with Trigonometric Functions
Learn how to use implicit differentiation with sine, cosine, tangent, and other trigonometric functions, with step-by-step worked examples for AP Calculus AB & BC.
Finding the Second Derivative Implicitly
Learn how to find the second derivative of an implicitly defined function, with a step-by-step method and fully worked AP Calculus examples.
Differentiating Parametrically Defined Functions (Preview)
A preview of how to differentiate parametrically defined functions in AP Calculus BC, including the key dy/dx formula, worked examples, and common mistakes.
Differentiating Inverse Trigonometric Compositions
Learn how to differentiate compositions involving inverse trigonometric functions such as arcsin, arccos, and arctan, with step-by-step AP Calculus examples.
Differentiating Inverse Functions
Learn how to differentiate inverse functions using the inverse function derivative formula, with step-by-step examples for AP Calculus AB & BC.
Derivatives of Inverse Trigonometric Functions
Learn the derivatives of inverse trigonometric functions with a clear step-by-step method and fully worked examples for AP Calculus AB & BC.
Derivatives of General Exponential and Logarithmic Functions (Base a)
Learn how to differentiate exponential and logarithmic functions with any valid base a, including the special roles of ln(a) and 1/(x ln(a)), with fully worked AP Calculus AB & BC examples.
Common Implicit Differentiation Mistakes
Learn the most common implicit differentiation mistakes in AP Calculus, including missing chain-rule factors, mishandling y terms, solving incompletely for dy/dx, and evaluating points incorrectly.