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 $2xcos(x)-x^{2}sin(x)$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.6 Trigonometric Functions - Exercises - Page 140: 6
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