# Chapter 3: Derivatives - Section 3.3 Differentiation Rules - Exercises 3.3 - Page 125: 10

First Derivative: $y'=-2+3x^{-4}$ Second Derivative: $y''=-12x^{-5}$

#### Work Step by Step

Using the Power Rule: First Derivative: $y=4-2x-x^{-3}$ $y'=(0)-(1)(2)x^{1-1}-(-3)x^{-3-1}$ $y'=-2+3x^{-4}$ (the derivative of 4 will be 0 because of the rule of the constant function) Second Derivative: $y'=-2+3x^{-4}$ $y''=-(0)+(-4)(3)x^{-4-1}$ $y''=-12x^{-5}$ (the derivative of 2 will be 0 because of the rule of the constant function)

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