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Derivative of:
Derivative of 2^(3*x)
Derivative of x^3*e^x
Derivative of 3/x^3
Derivative of x^(1/5)
Graphing y =:
x^(1/5)
Integral of d{x}:
x^(1/5)
Limit of the function:
x^(1/5)
Identical expressions
x^(one / five)
x to the power of (1 divide by 5)
x to the power of (one divide by five)
x(1/5)
x1/5
x^1/5
x^(1 divide by 5)
Similar expressions
5/((x+lnx)^1/5)
ctg^8(x^1/2+x^1/5)

The derivative of the function/ x^(1/5)

Derivative of x^(1/5)

The solution

You have entered [src]

5 ___
\/ x

$$\sqrt[5]{x}$$

x^(1/5)

Detail solution

Apply the power rule: $\sqrt[5]{x}$ goes to $\frac{1}{5 x^{\frac{4}{5}}}$

The answer is:

$\frac{1}{5 x^{\frac{4}{5}}}$

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)