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x^(1/5)

Derivative of x^(1/5)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
5 ___
\/ x 
x5\sqrt[5]{x}
x^(1/5)
Detail solution
  1. Apply the power rule: x5\sqrt[5]{x} goes to 15x45\frac{1}{5 x^{\frac{4}{5}}}


The answer is:

15x45\frac{1}{5 x^{\frac{4}{5}}}

The graph
02468-8-6-4-2-101002
The first derivative [src]
  1   
------
   4/5
5*x   
15x45\frac{1}{5 x^{\frac{4}{5}}}
The second derivative [src]
  -4   
-------
    9/5
25*x   
425x95- \frac{4}{25 x^{\frac{9}{5}}}
The third derivative [src]
    36   
---------
     14/5
125*x    
36125x145\frac{36}{125 x^{\frac{14}{5}}}
The graph
Derivative of x^(1/5)