`y = 5/(2x)^3 + 2cos(x)` Use the rules of differentiation to find the derivative of the function.

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Chapter 2, 2.2 - Problem 24 - Calculus of a Single Variable (10th Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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Given: `y=(5)/(2x)^3+2cos(x)`

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Simplify the given. 

`y=(5)/(8x^3)+2cos(x)`

`y=(5x^-3)/(8)+2cos(x)`

Find the derivative.

`y'=(-15x^-4)/(8)-2sin(x)`

`y'=(-15)/(8x^4)-2sin(x)`

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