How do you find the derivative of $x^{\frac{3}{4}}$ $x^(3/4)$ ?

Question

11392 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-16T00:14:41

The derivative is $\frac{3}{4 x^{\frac{1}{4}}}$ $3/(4x^(1/4))$ or $\frac{3}{4} x^{- \frac{1}{4}}$ $3/4x^(-1/4)$ .

$= \frac{d}{d x} [x^{\frac{3}{4}}]$ $color(white)=d/dx[x^color(red)(3/4)]$

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

$= \frac{3}{4} x^{\frac{3}{4} - \frac{4}{4}}$ $=color(red)(3/4)x^(color(red)(3/4)-4/4)$

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

$= \frac{3}{4 x^{\frac{1}{4}}}$ $=color(red)(3/(4color(black)(x^(1/4))))$

How do you find the derivative of x34x^(3/4)?