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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

Use the given graph to estimate the value of each derivative. Then sketch the graph of f'.

(a) f'(–3)

(b) f' (–2)

(c) f'(–1)

(d) f'(0)

(e) f'(l)

(f) f'(2)

(g) f'(3)

Chapter 2.8, Problem 1E, Use the given graph to estimate the value of each derivative. Then sketch the graph of f'. (a) f'(3)

(a)

To determine

To estimate: The value of f(3) using the graph of f.

Explanation

Estimation:

Draw the slope of the tangent at the point x=3.

The calculation of the slope at x=3 is as follows,

From the Figure 1,

m=1

(b)

To determine

To estimate: The value of f(2) using the graph of f.

(c)

To determine

To estimate: The value of f(1) using the graph of f.

(d)

To determine

To estimate: The value of f(0) using the graph of f.

(e)

To determine

To estimate: The value of f(1) using the graph of f.

(f)

To determine

To estimate: The value of f(2) using the graph of f.

(g)

To determine

To estimate: The value of f(3) using the graph of f.

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