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arctg(x)
The derivative of the function/ arctg(x)

Derivative of arctg(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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
Derivative of arctg(x)
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