Stage 36 · Limits, Derivatives & Their Applications
36.4.3 The Product Rule
36.4 The Differentiation Toolbox: Formulas and Rules
Point 3 of 6
36.4.3 The Product Rule
Core ideaWhen two quantities multiply, let each one change in turn and add the results: (uv)′=u′v+uv′.
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.