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) = x3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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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) = x3

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