Math with Bad DrawingsCartoon Archive

Math Fashion Tips: Two Derivative Definitions

May 25, 2025

Fashion commentary on two equivalent notations: Two Derivative Definitions.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2025-05-25-math-fashion-tips--derivative/ (CC BY-NC 4.0)
Transcript

lim_{h→0} (f(x+h) − f(x))/h: "persnickety, overly fussy, like a coat with teeny tiny buttons" vs. lim_{x→a} (f(x) − f(a))/(x − a): "breezy, natural, like a breathable fabric"

Topics
Calculus › Derivatives › Limit DefinitionMath Culture › Notation
Level
High SchoolCollege
Themes
Language & WordplayPunsVisual Explanations