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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 
1x3\frac{1}{\sqrt[3]{x}}
x^(-1/3)
Detail solution
  1. Apply the power rule: 1x3\frac{1}{\sqrt[3]{x}} goes to 13x43- \frac{1}{3 x^{\frac{4}{3}}}


The answer is:

13x43- \frac{1}{3 x^{\frac{4}{3}}}

The graph
02468-8-6-4-2-1010-1010
The first derivative [src]
 -1   
------
   4/3
3*x   
13x43- \frac{1}{3 x^{\frac{4}{3}}}
The second derivative [src]
  4   
------
   7/3
9*x   
49x73\frac{4}{9 x^{\frac{7}{3}}}
The third derivative [src]
  -28   
--------
    10/3
27*x    
2827x103- \frac{28}{27 x^{\frac{10}{3}}}
The graph
Derivative of x^(-1/3)