Stage 36 · Limits, Derivatives & Their Applications

36.4.2 The Sum and Difference Rule

36.4 The Differentiation Toolbox: Formulas and Rules

Point 2 of 6

36.4.2 The Sum and Difference Rule

Core idea

Stack a few curves together and their steepnesses just add up too: (u±v)′=u′±v′.

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 · 36.4.2 The Sum and Difference Rule