Mister Exam

Derivative of sqrt(y)

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

The graph:

from to

Piecewise:

The solution

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


The answer is:

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