`f(x) = (2x^4 - x)/(x^3)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.2 - Problem 44 - Calculus of a Single Variable (10th Edition, Ron Larson).
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kalau | (Level 2) Adjunct Educator

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Divide each term by `x^3` .

`f(x) = 2x-x^(-2)`

Use the constant rule and the power rule to derive this function.

`f'(x) = 2+2x^-3`

Eliminate the negative exponent by rewriting it as a fraction.

The answer is:

`f'(x) = 2+2/x^3`

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