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Derivative of:
Derivative of x^(1/3)
Derivative of 1/sqrt(x)
Derivative of x*acot(x)
Derivative of 4/x
Graphing y =:
x^(1/3)
Limit of the function:
x^(1/3)
Integral of d{x}:
x^(1/3)
Identical expressions
x^(one / three)
x to the power of (1 divide by 3)
x to the power of (one divide by three)
x(1/3)
x1/3
x^1/3
x^(1 divide by 3)
Similar expressions
y=x+√x/x-2x^1/3
sqrt(x^1/3)*e^2x
(cosx)^(1/3)*exp(-asinx)

The derivative of the function/ x^(1/3)

Derivative of x^(1/3)

The solution

You have entered [src]

3 ___
\/ x

$$\sqrt[3]{x}$$

x^(1/3)

Detail solution

Apply the power rule: $\sqrt[3]{x}$ goes to $\frac{1}{3 x^{\frac{2}{3}}}$

The answer is:

$\frac{1}{3 x^{\frac{2}{3}}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  1   
------
   2/3
3*x

$$\frac{1}{3 x^{\frac{2}{3}}}$$

Simplify

The second derivative [src]

 -2   
------
   5/3
9*x

$$- \frac{2}{9 x^{\frac{5}{3}}}$$

Simplify

The third derivative [src]

   10  
-------
    8/3
27*x

$$\frac{10}{27 x^{\frac{8}{3}}}$$

Simplify

The graph

Derivative of x^(1/3)