Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.6 Trigonometric Functions - Exercises: 6

Answer

$2xcos(x)-x^{2}sin(x)$

Work Step by Step

Use the product rule for differentiation, or $[uv]'=u'v+uv'$, the derivative equals $(x^{2})'cos(x)+x^{2}(cos(x))',$ or $2xcos(x)-x^{2}sin(x)$.
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