How do you find the derivative of $x^(1/4)$ ?

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Answer 1 · 2016-08-30T10:57:26

$1/(4x^(3/4))$

We will use the power rule, which states that the derivative of some function in the form $x^n$ is equal to $color(blue)(d/dxx^n=nx^(n-1)$ .

So here, we see that $d/dxx^(1/4)=1/4x^(1/4-1)=1/4x^(-3/4)=1/(4x^(3/4))$ .

How do you find the derivative of x^(1/4)x^(1/4)?