Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.4 Derivatives of Trigonometric Functions - 2.4 Exercises: 16

Answer

Differentiate $y=x^2\sin x\tan x$ $y' = x\sin x(2\tan x + x +x\sec ^2x)$

Work Step by Step

Differentiate using product and trig rules $y'=2x\sin x\tan x + x^2\cos x\tan x + x^2\sin x \sec ^2x$ Factor out $x\sin x$ $= x\sin x(2\tan x + x +x\sec ^2x)$
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