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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

(a) State the First Derivative Test.

(b) State the Second Derivative Test. Under what circumstances is it inconclusive? What do you do if it fails?

(a)

To determine

To state: The First Derivative Test

Explanation

Definition: First Derivative Test

”Suppose that c is a critical number of a continuous function.

(a) If f changes its sign from positive to negative at c, then f has local maximum at c

(b)

To determine

To state: The Second Derivative Test and also justify under which circumstances it is inconclusive.

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