Stage 36 · Limits, Derivatives & Their Applications

36.4.6 Mixed Differentiation Practice

36.4 The Differentiation Toolbox: Formulas and Rules

Point 6 of 6

36.4.6 Mixed Differentiation Practice

Core idea

First spot whether the structure is a sum, a product, or a nesting, then apply the matching rules in order and you'll land f′ every time.

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.
eastmath.com · 36.4 The Differentiation Toolbox: Formulas and Rules · 36.4.6 Mixed Differentiation Practice