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

Derivative of arcctg(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
acot(x)
$$\operatorname{acot}{\left(x \right)}$$ 
d          
--(acot(x))
dx
$$\frac{d}{d x} \operatorname{acot}{\left(x \right)}$$
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 /
$$\frac{2 \left(- \frac{4 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{2}}$$
Simplify
The graph
Derivative of arcctg(x)
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