What is the derivative of $x^{\frac{3}{4}}$ $x^(3/4)$ ?

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Answer 1 · 2016-05-31T05:54:01

$\frac{3}{4} x^{- \frac{1}{4}}$ $3/4x^(-1/4)$

By using the power rule:
$\frac{d}{d x} x^{n} = n x^{n - 1}$ $d/dx x^n=nx^(n-1)$

we can see that if we multiply the term of x by 3/4 and then reduce the power by 1, we will get:

$\frac{3}{4} x^{- \frac{1}{4}}$ $3/4x^(-1/4)$

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