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x^(4/5)

Derivative of x^(4/5)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4/5
x   
x45x^{\frac{4}{5}}
x^(4/5)
Detail solution
  1. Apply the power rule: x45x^{\frac{4}{5}} goes to 45x5\frac{4}{5 \sqrt[5]{x}}


The answer is:

45x5\frac{4}{5 \sqrt[5]{x}}

The graph
02468-8-6-4-2-1010010
The first derivative [src]
   4   
-------
  5 ___
5*\/ x 
45x5\frac{4}{5 \sqrt[5]{x}}
The second derivative [src]
  -4   
-------
    6/5
25*x   
425x65- \frac{4}{25 x^{\frac{6}{5}}}
The third derivative [src]
    24   
---------
     11/5
125*x    
24125x115\frac{24}{125 x^{\frac{11}{5}}}
The graph
Derivative of x^(4/5)