Calculus 10th Edition

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

Chapter 2 - Differentiation - 2.3 Exercises: 39

Answer

$f'(t)=t(2\sin(t)+t\cos(t))$

Work Step by Step

Product Rule $f'(t)=((u(t)(v(t))’=u’(t)v(t)+u(t)v’(t)$ $u(t)=t^2 ;u’(t)=2t $ $v(t)=\sin(t) ;v’(t)=\cos(t) $ $f'(t)=(2t)(\sin(t))+(\cos(t))(t^2)=t(2\sin(t)+t\cos(t))$
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