Derivative of arcctgx

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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