# Chapter 3: Derivatives - Practice Exercises - Page 178: 40

$y'=3sin(3x)cos^2(3x)(3+cos^3(3x))^{-4/3}$

#### Work Step by Step

Take the derivative of the equation using Power Rule, Chain Rule, and Trigonometric derivative: $y'=\frac{-1}{3}(3+cos^3(3x))^{-4/3}\times3cos^2(3x)\times-sin(3x)\times3$ $=3sin(3x)cos^2(3x)(3+cos^3(3x))^{-4/3}$

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