`g(x) = root(4)(x)` Use the rules of differentiation to find the derivative of the function.

Textbook Question

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

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The square root of a function can be rewritten as a fraction.

`g(x)= x^(1/4)`

Use the power rule.

`g'(x)= 1/4 x^ (1/4-1)= 1/4 x^(-3/4)`

Rewrite the answer to eliminate the negative exponent.

The answer is:

`g'(x)=1/(4x^(3/4))`

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