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4x^1/3
The derivative of the function/ 4x^1/3

Derivative of 4x^1/3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3 ___
4*\/ x
$$4 \sqrt[3]{x}$$ 
d /  3 ___\
--\4*\/ x /
dx
$$\frac{d}{d x} 4 \sqrt[3]{x}$$
Transform
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] 
  4   
------
   2/3
3*x
$$\frac{4}{3 x^{\frac{2}{3}}}$$
Simplify
The second derivative [src] 
 -8   
------
   5/3
9*x
$$- \frac{8}{9 x^{\frac{5}{3}}}$$
Simplify
The third derivative [src] 
   40  
-------
    8/3
27*x
$$\frac{40}{27 x^{\frac{8}{3}}}$$
Simplify
The graph
Derivative of 4x^1/3
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