Thomas' Calculus 13th Edition

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

Chapter 3: Derivatives - Section 3.5 - Derivatives of Trigonometric Functions - Exercises 3.5 - Page 141: 5


The Derivative is: $y'=-\csc x\cot x-\frac{2}{\sqrt{x}}$

Work Step by Step

$y=\csc x-4\sqrt{x}+7$ Applying Derivative Rules: $y'=f'(x)+g'(x)$ $y'=(-\csc x\cot x)-(4)(\frac{1}{2\sqrt{x}})+(0)$ $y'=-\csc x\cot x-\frac{2}{\sqrt{x}}$
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