Finite Math and Applied Calculus (6th Edition)

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

Chapter 11 - Section 11.1 - Derivatives of Powers, Sums, and Constant Multiples - Exercises - Page 794: 4

Answer

$-2x^{-2}$

Work Step by Step

SUMMARY:$\\\\$ The Power Rule$:\ \ \ [x^{n}]^{\prime}=nx^{n-1 }\\$ Sum Rule: $\ \ \ \ \ \ [f\pm g]^{\prime}(x)=f^{\prime}(x)\pm g^{\prime}(x)\\$ Constant Multiple Rule:$\ \ \ [cf]^{\prime}(x)=cf^{\prime}(x)\\$ $\displaystyle \frac{d}{dx}(cx)=c,\ \ \ \ \ \frac{d}{dx}(c)=0\\$ -------------------------------- $[3x^{-1}]^{\prime}$=... Constant Multiple Rule... = $3[x^{-1}]^{\prime}$=... Power rule... $=2\cdot(-1)x^{-2}$ = $-2x^{-2}$
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