Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.3 Differentiation Formulas - 2.3 Exercises - Page 143: 96

Answer

$174.8 \mathrm{g} / \text { week }=B^{\prime}(4)$

Work Step by Step

\begin{array}{l} N(t) M(t)=B(t) \\ \text { Use } f g^{\prime}+g f^{\prime}=(f g)^{\prime} \\ N(t) M^{\prime}(t)+M(t) N^{\prime}(t) =B^{\prime}(t)\\ \qquad \begin{aligned} 50=N^{\prime}(4) & \\ &1.2=M(4) \\ 0.14=M^{\prime}(4) & \end{aligned} \\ 174.8 \mathrm{g} / \mathrm{wee}=820 \cdot 0.14+1.2 * 50=B^{\prime}(4) \end{array}
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