Chapter 2.9, Problem 9E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

**7-10** Verify the given linear approximation at
*x* for which the linear approximation is accurate to within 0.1.

To determine

**I)**

**To verify: ** Linear approximation at a = 0

Explanation

**1) Formula:**

i.

ii. Power rule combined with chain rule :

iii. Constant function rule:

iv. Sum rule:

**2) Given:**

3) **Calculation:**

Substitute

Now substitute

Differentiate

By using power rule combined with chain rule,

To determine

**II)**

**To find:** x for which linear approximation is within 0.1.

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