Differentiation of Composite & Inverse Functions

This study guide covers the reciprocal of a derivative and derivatives of inverse functions. It explains the relationship between f'(x) and (f⁻¹)'(x), including the derivation and application of the Inverse Function Theorem. The guide provides worked examples, practice questions, and a glossary of key terms like derivative, inverse function, and chain rule. Key concepts include finding the derivative of an inverse function and relating rates of change.