Derivative of arctgx/a

You have entered [src]

acot(x)
-------
   a

$$\frac{\operatorname{acot}{\left(x \right)}}{a}$$

acot(x)/a

The first derivative [src]

   -1     
----------
  /     2\
a*\1 + x /

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

Simplify

The second derivative [src]

    2*x    
-----------
          2
  /     2\ 
a*\1 + x /

$$\frac{2 x}{a \left(x^{2} + 1\right)^{2}}$$

Simplify

The third derivative [src]

   /         2 \
   |      4*x  |
-2*|-1 + ------|
   |          2|
   \     1 + x /
----------------
            2   
    /     2\    
  a*\1 + x /

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

Simplify

3-я производная [src]

   /         2 \
   |      4*x  |
-2*|-1 + ------|
   |          2|
   \     1 + x /
----------------
            2   
    /     2\    
  a*\1 + x /

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

Simplify