`f(x) = 8x + 3/(x^2)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.2 - Problem 42 - Calculus of a Single Variable (10th Edition, Ron Larson).
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kalau | (Level 2) Adjunct Educator

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Derive term by term.  The derivative is the slope of a function.   

The derivative of `8x`  is 8.

Rewrite `3/x^2`  with a negative exponent.

`3/x^2= 3x^-2`

Use the power rule to derive.

`-2(3)x^-3 = -6/x^3` 

Combine all terms.  The answer is:  `f'(x) = 8-6/x^3`

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