Math with Bad DrawingsCartoon Archive

Mean Value Theorem

September 25, 2017

A driver pulled over by a police officer explains that the Mean Value Theorem guarantees he was speeding at some point.

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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/2017-09-25-mean-value-theorem/ (CC BY-NC 4.0)
Transcript

Driver: "Well, Officer, to get from Point A to Point B in that amount of time, I had to break either the speed limit or the Mean Value Theorem, and I couldn't bear to upset my calculus teacher."

Topics
Calculus › Mean Value TheoremCalculus › DerivativesNumber & Arithmetic › RatesLogic & Proof › Proofs & Theorems
Level
Calculus
Themes
Teachers & ClassroomEveryday Life