Find any critical numbers for ƒ and then use the second derivative test to decide whether the critical numbers lead to relative maxima or relative minima. If ƒ″ (c) = 0 or ƒ″ (c)  does not exist for a critical number c, then the second derivative test gives no information. In this case, use the first derivative test instead ƒ(x) = 3x3 - 3x2 + 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Find any critical numbers for ƒ and then use the second derivative test to decide whether the critical numbers lead to relative maxima or relative minima. If ƒ″ (c) = 0 or ƒ″ (c)  does not exist for a critical number c, then the second derivative test gives no information. In this case, use the first derivative test instead

ƒ(x) = 3x3 - 3x2 + 1

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