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: 7

Answer

$y'=(6θ+3secθtanθ)(θ^2+secθ+1)^2$

Work Step by Step

Take the derivative of the equation, and apply Chain Rule to the inner terms: $y'=3(θ^2+secθ+1)^2\times(2θ+secθtanθ)$ $=(6θ+3secθtanθ)(θ^2+secθ+1)^2$
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