Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - Review Exercises - Page 158: 58

Answer

$y' = 2(sin(2x) - 2cos(x)sin(x))$

Work Step by Step

$y = 1-cos(2x) + 2(cos(x))^{2}$ $y' = -(-sin(2x))(2) + (2 \times 2)cos(x)(-sin(x))$ $y' = 2sin(2x)-4cos(x)sin(x)$ $y' = 2(sin(2x) - 2cos(x)sin(x))$
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