Derivative of arctg(x)

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atan(x)

$$\operatorname{atan}{\left(x \right)}$$

d          
--(atan(x))
dx

$$\frac{d}{d x} \operatorname{atan}{\left(x \right)}$$

Transform

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  1   
------
     2
1 + x

$$\frac{1}{x^{2} + 1}$$

Simplify

The second derivative [src]

   -2*x  
---------
        2
/     2\ 
\1 + x /

$$- \frac{2 x}{\left(x^{2} + 1\right)^{2}}$$

Simplify

The third derivative [src]

  /         2 \
  |      4*x  |
2*|-1 + ------|
  |          2|
  \     1 + x /
---------------
           2   
   /     2\    
   \1 + x /

$$\frac{2 \cdot \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}}$$

Simplify

The graph