Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 11 - Section 11.3 - The Product and Quotient Rules - Exercises - Page 818: 18

Answer

$\displaystyle \frac{dy}{dx}=32x-8$

Work Step by Step

$f(x)=4x-1\ \ \quad g(x)=4x-1$ $f^{\prime}(x)=4\qquad g^{\prime}(x)=4$ $\displaystyle \frac{dy}{dx}=\frac{d}{dx}[f(x)g(x)]$= ... product rule ... $= f^{\prime}(x)g(x)+f(x)g^{\prime}(x)$ $=4(4x-1)+4(4x-1)$ $=8(4x-1)$ $=32x-8$
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