Chapter 2.5, Problem 90E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

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If
*f *and *g* possess third derivatives, find a formula for

To determine

**To find:**

Formula for

Explanation

We shall use the answer from exercise 89. Differentiate it one more time using chain rule.

**Formula used:**

Product rule:

Chain rule:

Addition rule:

**Calculation:**

By exercise 89:

Differentiatingboth sides

Using addition rule

By using product rule

By using chain rule

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