Calculus 10th Edition

Published by Brooks Cole

Chapter 2 - Differentiation - 2.3 Exercises - Page 125: 22

Answer

Rewrite: $y=\frac{10}{3}x^{-3}$ Differentiate: $(\frac{10}{3})(-3)(x^{-3-1})$ Simplify: $-\frac{10}{x^4}$

Work Step by Step

Rewrite: factor out the constant and reverse the sign of the exponent to get the expression into the numerator. Differentiate: Using the Constant Multiple Rule and the Power Rule, differentiate to get $(\frac{10}{3})(-3)(x^{-3-1})$. Simplify: Multiply out the constants and take the expression back to the denominator to get rid of the negative exponent.

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