Thomas' Calculus 13th Edition

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

Chapter 3: Derivatives - Practice Exercises - Page 177: 26

Answer

$y'=-5x^2csc^2(5x)+2xcot(5x)$

Work Step by Step

Take the derivative of the equation using Power Rule, Product Rule, Trigonometric derivative, and Chain Rule: $y'=x^2\times-csc^2(5x)\times5+2xcot(5x)$ $=-5x^2csc^2(5x)+2xcot(5x)$
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