Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.2 The Derivative as a Function - Exercises - Page 115: 48

Answer

(a) $\frac{d}{dR}R=1$. (b) $\frac{d}{dR}r=0$. (c) $\frac{d}{dR}r^2R^3=3r^2R^2$.

Work Step by Step

(a) $\frac{d}{dR}R=1$. (b) Since $ r $ is constant, we have $\frac{d}{dR}r=0$. (c) Since $ r $ is constant, we have $\frac{d}{dR}r^2R^3=3r^2R^2 $.
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