Explanation Given information: f ( x ) = x 3 − a x Definition used: For any function f , a point p in the domain of f where f ' ( p ) = 0 or f ' ( p ) is undefined is called a critical point of the function. Calculation: f ( x ) = x 3 − a x (Given) Differentiating with respect to ‘x’, we get f ' To determine (b) To find: The value of a so that f has local extreme at x = ± 2.

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 4.1, Problem 46P

To determine

(a)

To find:

The critical points of f(x)=x3−ax, where ais apositive constant.

To determine

(b)

To find:

The value of a so that f has local extreme at x=±2.

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Chapter 4.1, Problem 45P

Chapter 4.1, Problem 47P

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Chapter 4 Solutions

EBK APPLIED CALCULUS, ENHANCED ETEXT

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(a) To find: The critical points of f ( x ) = x 3 − a x , where ais apositive constant.

Solution Summary: The author calculates the critical points of f(x)=x3-ax, where a is an undefined constant.

Concept explainers

Videos

(a)

To find:

The critical points of f(x)=x3−ax, where ais apositive constant.

(b)

To find:

The value of a so that f has local extreme at x=±2.

Want to see the full answer?

Chapter 4 Solutions

(a) To find: The critical points of f ( x ) = x 3 − a x , where ais apositive constant.

Solution Summary: The author calculates the critical points of f(x)=x3-ax, where a is an undefined constant.

Concept explainers

Videos

(a) To find: The critical points of f(x)=x3−ax, where ais apositive constant.

(b) To find: The value of a so that f has local extreme at x=±2.

Want to see the full answer?

Chapter 4 Solutions

(a)

To find:

The critical points of f(x)=x3−ax, where ais apositive constant.

(b)

To find:

The value of a so that f has local extreme at x=±2.