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cbrt(x)
The derivative of the function/ cbrt(x)

Derivative of cbrt(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
3 ___
\/ x
$$\sqrt[3]{x}$$ 
d /3 ___\
--\\/ x /
dx
$$\frac{d}{d x} \sqrt[3]{x}$$
Transform
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   
------
   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 cbrt(x)
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