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x^(1/5)
The derivative of the function/ 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
$$\sqrt[5]{x}$$ 
x^(1/5)
Detail solution

  1. Apply the power rule: goes to

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  1   
------
   4/5
5*x
$$\frac{1}{5 x^{\frac{4}{5}}}$$
Simplify
The second derivative [src] 
  -4   
-------
    9/5
25*x
$$- \frac{4}{25 x^{\frac{9}{5}}}$$
Simplify
The third derivative [src] 
    36   
---------
     14/5
125*x
$$\frac{36}{125 x^{\frac{14}{5}}}$$
Simplify
The graph
Derivative of x^(1/5)
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