Explanation Given: Function f ( x ) = x 3 − 75 x Formula Used: Critical points of the function are the points where the function is defined and its derivative is undefined or zero. Calculation: Function is given as f ( x ) = x 3 − 75 x Derivative of above function is calculated as follows: f ′ ( x ) = d d x ( x 3 − 75 x ) f ′ ( x ) = d d x ( x 3 ) − d d x ( 75 x ) f ′ ( x ) = d d x ( x 3 ) − 75 d d To determine (b) Use graph to classify the critical point for below function as a local minimum , a local maximum , or neither. f ( x ) = x 3 − 75 x

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 4.1, Problem 9P

To determine

(a)

Use the derivative to find all critical points for below function:

f(x)=x3−75x

To determine

(b)

Use graph to classify the critical point for below function as a local minimum, a local maximum, or neither.

f(x)=x3−75x

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Chapter 4.1, Problem 8P

Chapter 4.1, Problem 10P

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Chapter 4 Solutions

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(a) Use the derivative to find all critical points for below function: f ( x ) = x 3 − 75 x

Solution Summary: The author explains that critical points of the function are defined and its derivative is undefined.

Concept explainers

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(a)

Use the derivative to find all critical points for below function:

f(x)=x3−75x

(b)

Use graph to classify the critical point for below function as a local minimum, a local maximum, or neither.

f(x)=x3−75x

Want to see the full answer?

Chapter 4 Solutions

(a) Use the derivative to find all critical points for below function: f ( x ) = x 3 − 75 x

Solution Summary: The author explains that critical points of the function are defined and its derivative is undefined.

Concept explainers

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(a) Use the derivative to find all critical points for below function: f(x)=x3−75x

(b) Use graph to classify the critical point for below function as a local minimum, a local maximum, or neither. f(x)=x3−75x

Want to see the full answer?

Chapter 4 Solutions

(a)

Use the derivative to find all critical points for below function:

f(x)=x3−75x

(b)

Use graph to classify the critical point for below function as a local minimum, a local maximum, or neither.

f(x)=x3−75x