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x^(1/3)

Derivative of x^(1/3)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
3 ___
\/ x 
x3\sqrt[3]{x}
x^(1/3)
Detail solution
  1. Apply the power rule: x3\sqrt[3]{x} goes to 13x23\frac{1}{3 x^{\frac{2}{3}}}


The answer is:

13x23\frac{1}{3 x^{\frac{2}{3}}}

The graph
02468-8-6-4-2-10100.02.5
The first derivative [src]
  1   
------
   2/3
3*x   
13x23\frac{1}{3 x^{\frac{2}{3}}}
The second derivative [src]
 -2   
------
   5/3
9*x   
29x53- \frac{2}{9 x^{\frac{5}{3}}}
The third derivative [src]
   10  
-------
    8/3
27*x   
1027x83\frac{10}{27 x^{\frac{8}{3}}}
The graph
Derivative of x^(1/3)