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

Derivative of 3*x^(2/3)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   2/3
3*x
$$3 x^{\frac{2}{3}}$$ 
3*x^(2/3)
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: goes to

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  2  
-----
3 ___
\/ x
$$\frac{2}{\sqrt[3]{x}}$$
Simplify
The second derivative [src] 
 -2   
------
   4/3
3*x
$$- \frac{2}{3 x^{\frac{4}{3}}}$$
Simplify
The third derivative [src] 
  8   
------
   7/3
9*x
$$\frac{8}{9 x^{\frac{7}{3}}}$$
Simplify
The graph
Derivative of 3*x^(2/3)
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