Mister Exam

Other calculators


x^2*sqrt(x)

Derivative of x^2*sqrt(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 2   ___
x *\/ x 
$$\sqrt{x} x^{2}$$
x^2*sqrt(x)
Detail solution
  1. Apply the product rule:

    ; to find :

    1. Apply the power rule: goes to

    ; to find :

    1. Apply the power rule: goes to

    The result is:


The answer is:

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