Mister Exam

Derivative of x^(1/2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
  ___
\/ x 
$$\sqrt{x}$$
sqrt(x)
Detail solution
  1. Apply the power rule: goes to


The answer is:

The graph
The first derivative [src]
   1   
-------
    ___
2*\/ x 
$$\frac{1}{2 \sqrt{x}}$$
The second derivative [src]
 -1   
------
   3/2
4*x   
$$- \frac{1}{4 x^{\frac{3}{2}}}$$
The third derivative [src]
  3   
------
   5/2
8*x   
$$\frac{3}{8 x^{\frac{5}{2}}}$$
The graph
Derivative of x^(1/2)