Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Practice Exercises - Page 243: 2


No local maximum value or minimum value

Work Step by Step

Need to take the derivative of the given function as follows: $g'(x)= -2 \csc^2 (x)-\cot (x) \csc (x)$ for all $x \neq k \pi$ Here, the function $g(x)$ does not contain critical points or real solutions of the function $g(x)$. This implies that we have found no local maximum value or minimum value.
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