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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]
  1  
-----
3 ___
\/ x 
$$\frac{1}{\sqrt[3]{x}}$$
x^(-1/3)
Detail solution
  1. Apply the power rule: goes to


The answer is:

The graph
The first derivative [src]
 -1   
------
   4/3
3*x   
$$- \frac{1}{3 x^{\frac{4}{3}}}$$
The second derivative [src]
  4   
------
   7/3
9*x   
$$\frac{4}{9 x^{\frac{7}{3}}}$$
The third derivative [src]
  -28   
--------
    10/3
27*x    
$$- \frac{28}{27 x^{\frac{10}{3}}}$$
The graph
Derivative of x^(-1/3)