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atan(y)
The derivative of the function/ atan(y)

Derivative of atan(y)

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

The graph:

from to

Piecewise:

The solution

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
Derivative of atan(y)
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