Mister Exam

Derivative of arctanx

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
atan(x)
$$\operatorname{atan}{\left(x \right)}$$
atan(x)
The graph
The first derivative [src]
  1   
------
     2
1 + x 
$$\frac{1}{x^{2} + 1}$$
The second derivative [src]
   -2*x  
---------
        2
/     2\ 
\1 + x / 
$$- \frac{2 x}{\left(x^{2} + 1\right)^{2}}$$
The third derivative [src]
  /         2 \
  |      4*x  |
2*|-1 + ------|
  |          2|
  \     1 + x /
---------------
           2   
   /     2\    
   \1 + x /    
$$\frac{2 \left(\frac{4 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{2}}$$
The graph
Derivative of arctanx