`h(x) = (4x^3 + 2x + 5)/x` Find the derivative of the function.

Textbook Question

Chapter 2, 2.2 - Problem 46 - Calculus of a Single Variable (10th Edition, Ron Larson).
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kalau | (Level 2) Adjunct Educator

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Divide all terms by x.

`f(x)=4x^2+2+5/x `

`f(x)= 4x^2+2+5x^-1`

Take the derivative of each term.

`f'(x) = 8x+0 +(-1)(5)(x^-2)`

Simplify.  

The answer is:

`f'(x) = 8x-5/x^2`

` `

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