Concept explainers
Finding Extrema on a Closed Interval In Exercises 1-8, find the absolute extrema of the function on the closed interval.
To calculate: The absolute extrema for the function
Answer to Problem 1RE
Solution:
The maximum is
Explanation of Solution
Given:
The function
Formula used:
A point c is said to be the critical point of the function f if
The extrema of the provided function f would exist at either the critical point or the end points of the closed interval.
Calculation:
First differentiate the provided function,
Equate the first derivative to zero to obtain the critical points in the provided interval.
Now calculate the value of the function at these critical points.
Now the value of the function at the left and right extreme points can be computed as:
Hence, the maximum is
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Chapter 4 Solutions
Bundle: Calculus Of A Single Variable: Early Transcendental Functions, Loose-leaf Version, 6th + Webassign Printed Access Card For Larson/edwards' ... Functions, 6th Edition, Multi-term
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