BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.4, Problem 58E
To determine

Find the value of g'(1) using given relation and table.

Expert Solution

Answer to Problem 58E

The value of the given expression g'(1)=1.2 .

Explanation of Solution

Given:

The given relation is g(x)=f(f(x)) and the table is given below.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 3.4, Problem 58E

Calculation:

Use formula g'(x)=(f(f(x)))'=f'(f(x))f'(x)

  f(1)=2f'(1)=2.41.81.50.5=0.61=0.6f'(f(1))=f'(2)=4.42.42.51.5=21=2

Now

  g'(1)=(f(f(1)))'=f'(f(1))f'(1)g'(1)=(f(f(1)))'=2(0.6)=1.2

Hence thevalue of the given expression g'(1)=1.2 .

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