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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

(a) Graph the function

f(x) = x43x3 – 6x2 + 7x + 30

in the viewing rectangle [–3, 5] by [–10, 50].

(b) Using the graph in part (a) to estimate slopes, make a rough sketch, by hand, of the graph of f'. (See Example 2.8.1.)

(c) Calculate f'(x) and use this expression. with a graphing device, to graph f'. Compare with your sketch in part (b).

(a)

To determine

To sketch: The graph of the function f(x)=x43x3+6x2+7x+30.

Explanation

Given:

The function f(x)=x43x3+6x2+7x+30 in the screening rectangle [3,5

(b)

To determine

To estimate: The slope of the function f(x) by using the graph obtained in part (a).

(c)

To determine

To calculate: The derivative of function f(x).

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