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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]
 1  
----
 4/5
x   
$$\frac{1}{x^{\frac{4}{5}}}$$
x^(-4/5)
Detail solution
  1. Apply the power rule: goes to


The answer is:

The graph
The first derivative [src]
 -4   
------
   9/5
5*x   
$$- \frac{4}{5 x^{\frac{9}{5}}}$$
The second derivative [src]
   36   
--------
    14/5
25*x    
$$\frac{36}{25 x^{\frac{14}{5}}}$$
The third derivative [src]
  -504   
---------
     19/5
125*x    
$$- \frac{504}{125 x^{\frac{19}{5}}}$$
The graph
Derivative of x^-(4/5)