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: 22



Work Step by Step

Rewrite the equation: $y=2(x)^{1/2}sin((x)^{1/2})$ Take the derivative of the equation using Trigonometric derivative, Power Rule, and Chain Rule: $y'=2(x)^{1/2}\times cos((x)^{1/2})\times\frac{1}{2}x^{-1/2}+2\times\frac{1}{2}x^{-1/2}\times sin((x)^{1/2})$ $=cos((x)^{1/2})+\frac{sin((x)^{1/2})}{x^{1/2}}$
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