Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 4 - Section 4.1 - Maximum and Minimum Values - 4.1 Exercises: 2

Answer

a) The extreme value theorem b) The closed interval method

Work Step by Step

a) If f is continuous on a closed interval [a, b], then f attains an absolute maximum value f(c) and an absolute minimum value f(d) at some number c and d in [a, b] b) First, find the critical number by using f'(c)=0, then, compare them, the largest one is the abs. max., the smallest one is the abs. min.
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