Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.5 Derivatives of Trigonometric Functions - Exercises Set 2.5 - Page 151: 8


$f'(x)=2x\sec x+(x^2+1)(\sec x\tan x)$

Work Step by Step

$f(x)=(x^2+1)secx$ $f'(x)=\frac{d}{dx}(x^2+1)\times{secx}+(x^2+1)\times{\frac{d}{dx}(secx)}$ $f'(x)=(2x)\times{secx}+(x^2+1)\times{(secxtanx)}$ $f'(x)=2x\sec x+(x^2+1)(\sec x\tan x)$
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