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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

The figure shows the graph of the derivative f′ of a function f.

(a) On what intervals is f increasing or decreasing?

(b) For what values of x does f have a local maximum or minimum?

(c) Sketch the graph of f″.

(d) Sketch a possible graph of f.

Chapter 4, Problem 18RE, The figure shows the graph of the derivative f of a function f. (a) On what intervals is f

(a)

To determine

The intervals on which the function f is increasing and decreasing.

Explanation

Given:

The graph showing the first derivative in Cartesian co-ordinates is given.

Calculation:

From the graph observe that in the intervals (2,0) and (4,) the value of first derivative is positive that is f

(b)

To determine

The values of x for which the function f has local maximum or local minimum.

(c)

To determine

To sketch: The possible graph of the second derivative of the function f.

(d)

To determine

To sketch: The possible graph of the function f.

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