Logarithmic Differentiation and Logarithmic Derivatives | AP Calculus AB

Worked examples, original practice, captions, and corrected transcript: https://calculus.mrwittman.com/9-30-2... Derive logarithmic derivative formulas from inverse functions, apply the chain rule to logarithms, compare ln x with ln|x|, and use logarithmic differentiation when a variable appears in both a base and an exponent. Chapters 0:00 Where logarithmic derivatives fit 2:06 Start with the natural logarithm 7:11 Logarithms as inverse functions 10:34 Derive the derivative of ln x 14:35 Differentiate logarithms with any base 19:18 Apply the chain rule inside logarithms 25:15 Compare ln x and ln absolute x 35:39 Differentiate x to the 3x 43:58 A variable base and exponent 49:07 When logarithmic differentiation is optional Course: AP Calculus AB Recorded September 30, 2026