Derivative of cbrt(x)

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3 ___
\/ x

$$\sqrt[3]{x}$$

d /3 ___\
--\\/ x /
dx

$$\frac{d}{d x} \sqrt[3]{x}$$

Transform

Detail solution

The answer is:

$\frac{1}{3 x^{\frac{2}{3}}}$

The graph

Plot the graph f(x)

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The first derivative [src]

  1   
------
   2/3
3*x

$$\frac{1}{3 x^{\frac{2}{3}}}$$

Simplify

The second derivative [src]

 -2   
------
   5/3
9*x

$$- \frac{2}{9 x^{\frac{5}{3}}}$$

Simplify

The third derivative [src]

   10  
-------
    8/3
27*x

$$\frac{10}{27 x^{\frac{8}{3}}}$$

Simplify

The graph