Derivative of atan(y)

You have entered [src]

atan(y)

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

atan(y)

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  1   
------
     2
1 + y

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

Simplify

The second derivative [src]

   -2*y  
---------
        2
/     2\ 
\1 + y /

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

Simplify

The third derivative [src]

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

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

Simplify

The graph