   Chapter 4.3, Problem 23E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Suppose f″ is continuous on (−∞, ∞).(a) If f′(2) = 0 and f″(2) = −5, what can you say about f?(b) If f′(6) = 0 and f″(6) = 0, what can you say about f?

(a)

To determine

To describe: About the function f by using the given conditions.

Explanation

Given:

The values f(2)=0,f(2)=5 .

Definition used: Second Derivative Test

“Suppose f is continuous near c.

(a) If f(c)=0 and f(c)>0 , then f has a local minimum at c.

(b) If f(c)=0 and f(c)<0 , then f has a local maximum at c”

(b)

To determine

To describe: About the function f by using the given conditions.

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