Answer
The derivative is $\frac{1}{4\sqrt[4] {x^3}}$
Work Step by Step
This question involves algebraic rearranging and an application of the power rule. The function can be rewritten as $x^{1/4}$. Using the power rule, we get the derivative to be $1/4*x^{-3/4}$ which can be rewritten as $\frac{1}{4\sqrt[4] {x^3}}$.