Mister Exam

Derivative of x^(5/7)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 5/7
x   
$$x^{\frac{5}{7}}$$
d / 5/7\
--\x   /
dx      
$$\frac{d}{d x} x^{\frac{5}{7}}$$
Detail solution
  1. Apply the power rule: goes to


The answer is:

The graph
The first derivative [src]
  5   
------
   2/7
7*x   
$$\frac{5}{7 x^{\frac{2}{7}}}$$
The second derivative [src]
  -10  
-------
    9/7
49*x   
$$- \frac{10}{49 x^{\frac{9}{7}}}$$
The third derivative [src]
    90   
---------
     16/7
343*x    
$$\frac{90}{343 x^{\frac{16}{7}}}$$
The graph
Derivative of x^(5/7)