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: 29

Answer

$f'(x)=20x^3-60x^2-44x-32.$

Work Step by Step

Product Rule $(f’(x)=(u(x)(v(x))’=u’(x)v(x)+u(x)v’(x))$ $u(x)=5x^2+8 ;u’(x)=10x $ $v(x)=x^2-4x-6 ;v’(x)= 2x-4$ $f'(x)=(10x)(x^2-4x-6)+(2x-4)(5x^2+8)$ $=20x^3-60x^2-44x-32.$
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