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The derivative of the function/ arctan(x/sqrt(6))

Derivative of arctan(x/sqrt(6))

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

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The solution

You have entered [src] 
    /  x  \
atan|-----|
    |  ___|
    \\/ 6 /
$$\operatorname{atan}{\left(\frac{x}{\sqrt{6}} \right)}$$ 
atan(x/sqrt(6))
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
/  ___\
|\/ 6 |
|-----|
\  6  /
-------
      2
     x 
 1 + --
     6
$$\frac{\frac{1}{6} \sqrt{6}}{\frac{x^{2}}{6} + 1}$$
Simplify
The second derivative [src] 
      ___   
 -x*\/ 6    
------------
           2
   /     2\ 
   |    x | 
18*|1 + --| 
   \    6 /
$$- \frac{\sqrt{6} x}{18 \left(\frac{x^{2}}{6} + 1\right)^{2}}$$
Simplify
The third derivative [src] 
        /         2 \
    ___ |      4*x  |
2*\/ 6 *|-1 + ------|
        |          2|
        \     6 + x /
---------------------
              2      
      /     2\       
      \6 + x /
$$\frac{2 \sqrt{6} \left(\frac{4 x^{2}}{x^{2} + 6} - 1\right)}{\left(x^{2} + 6\right)^{2}}$$
Simplify
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