Mister Exam

Derivative of 1/3sqrt(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
  ___
\/ x 
-----
  3  
$$\frac{\sqrt{x}}{3}$$
sqrt(x)/3
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: goes to

    So, the result is:


The answer is:

The graph
The first derivative [src]
   1   
-------
    ___
6*\/ x 
$$\frac{1}{6 \sqrt{x}}$$
The second derivative [src]
  -1   
-------
    3/2
12*x   
$$- \frac{1}{12 x^{\frac{3}{2}}}$$
The third derivative [src]
  1   
------
   5/2
8*x   
$$\frac{1}{8 x^{\frac{5}{2}}}$$
The graph
Derivative of 1/3sqrt(x)