`f(x) = root(5)(x)` Use the rules of differentiation to find the derivative of the function.

Textbook Question

Chapter 2, 2.2 - Problem 9 - Calculus of a Single Variable (10th Edition, Ron Larson).
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kalau | (Level 2) Adjunct Educator

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Rewrite the function:

`y=x^(1/5)`

Use the power rule.

`y'=1/5 x^(1/5-1) = 1/5 x^ (-4/5) ` 

The answer is:  `y=1/(5x^(4/5))`

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