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x^(2/3)

Derivative of x^(2/3)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 2/3
x   
$$x^{\frac{2}{3}}$$
x^(2/3)
Detail solution
  1. Apply the power rule: goes to


The answer is:

The graph
The first derivative [src]
   2   
-------
  3 ___
3*\/ x 
$$\frac{2}{3 \sqrt[3]{x}}$$
The second derivative [src]
 -2   
------
   4/3
9*x   
$$- \frac{2}{9 x^{\frac{4}{3}}}$$
The third derivative [src]
   8   
-------
    7/3
27*x   
$$\frac{8}{27 x^{\frac{7}{3}}}$$
The graph
Derivative of x^(2/3)