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x^(5/2)

Derivative of x^(5/2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 5/2
x   
x52x^{\frac{5}{2}}
x^(5/2)
Detail solution
  1. Apply the power rule: x52x^{\frac{5}{2}} goes to 5x322\frac{5 x^{\frac{3}{2}}}{2}


The answer is:

5x322\frac{5 x^{\frac{3}{2}}}{2}

The graph
02468-8-6-4-2-10100500
The first derivative [src]
   3/2
5*x   
------
  2   
5x322\frac{5 x^{\frac{3}{2}}}{2}
The second derivative [src]
     ___
15*\/ x 
--------
   4    
15x4\frac{15 \sqrt{x}}{4}
The third derivative [src]
   15  
-------
    ___
8*\/ x 
158x\frac{15}{8 \sqrt{x}}
The graph
Derivative of x^(5/2)