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Derivative of:
Derivative of sqrt(x)
Derivative of 1
Derivative of x^(2/3)
Derivative of sin^9(x/2)
Graphing y =:
x^(2/3)
Integral of d{x}:
x^(2/3)
Limit of the function:
x^(2/3)
Identical expressions
x^(two / three)
x to the power of (2 divide by 3)
x to the power of (two divide by three)
x(2/3)
x2/3
x^2/3
x^(2 divide by 3)
Similar expressions
(10x^4-3x^2)/(3x^2-1)^2
y=tgx+(6^x+2x^7+8x^2/3)

The derivative of the function/ x^(2/3)

Derivative of x^(2/3)

The solution

You have entered [src]

 2/3
x

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

x^(2/3)

Detail solution

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

The answer is:

$\frac{2}{3 \sqrt[3]{x}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   2   
-------
  3 ___
3*\/ x

$$\frac{2}{3 \sqrt[3]{x}}$$

Simplify

The second derivative [src]

 -2   
------
   4/3
9*x

$$- \frac{2}{9 x^{\frac{4}{3}}}$$

Simplify

The third derivative [src]

   8   
-------
    7/3
27*x

$$\frac{8}{27 x^{\frac{7}{3}}}$$

Simplify

The graph

Derivative of x^(2/3)