Chapter 4.1, Problem 59E

### Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Chapter
Section

### Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

# Finding Maximum Values Using Technology InExercises 59-62, use a computer algebra system to find the maximum value of | f ' ' ( x ) | on the closed interval. (This value is used in the error estimate for the Trapezoidal Rule, as discussed in Section 8.6.) n x f ( x ) = 1 + x 3 ,     [ 0 , 2 ]

To determine

To Calculate: The maximum value of |f''(x)| on the closed interval.

Explanation

Given: f(x)=1+x3,[0,2]

Formula used:

Calculation:

By Computer algebra system, we see that the maximum value of |f''(x)| occurs at the point (0.7, 1.5) in the closed interval [0,2]

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