Stage 36 · Limits, Derivatives & Their Applications
36.4.5 Composite Functions and the Chain Rule
36.4 The Differentiation Toolbox: Formulas and Rules
Point 5 of 6
36.4.5 Composite Functions and the Chain Rule
Core ideaA nested function is like gears in a chain where the turning rates multiply: the outer derivative times the inner derivative.
Module goal. Turn point-by-point limit-taking into looking things up and applying rules, so differentiation is fast and accurate across common functions and nested structures.