CoreDerivatives

Max / Min

Overview

Find local maxima and minima using the first and second derivative tests.

Key Concepts

1

First derivative test: sign change of f′ at critical point

2

Second derivative test: f′′(a) > 0 ⇒ local min; f′′(a) < 0 ⇒ local max

3

Global extrema: check critical points and endpoints

Explore Calculus Visually

Open the calculus visualizer to interact with derivatives, limits, and integrals.

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