Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.3 Exercises - Page 125: 21


Rewrite: $\frac{6}{7}x^{-2}$ Differentiate: $(\frac{6}{7})(-2)(x^{-2-1})$ Simplify$-\frac{12}{7x^3}$

Work Step by Step

Rewrite: Factor out the $\frac{6}{7}$ to get a constant times an expression; then (by switching the sign of the exponent of x) take the expression to the numerator. Differentiate:Using the Constant Multiple Rule and the Power Rule, differentiate the expression to get $(\frac{6}{7})(-2)(x^{-2-1})$. Simplify: Multiply the constants and take the expression to the denominator again to get rid of the negative exponent.
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