Mister Exam

Other calculators

arcctgx
The derivative of the function/ arcctgx

Derivative of arcctgx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
acot(x)
acot⁡(x)\operatorname{acot}{\left(x \right)} 
d          
--(acot(x))
dx
ddxacot⁡(x)\frac{d}{d x} \operatorname{acot}{\left(x \right)}
Transform
The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 -1   
------
     2
1 + x
−1x2+1- \frac{1}{x^{2} + 1}
Simplify
The second derivative [src] 
   2*x   
---------
        2
/     2\ 
\1 + x /
2x(x2+1)2\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 /
2(−4x2x2+1+1)(x2+1)2\frac{2 \left(- \frac{4 x^{2}}{x^{2} + 1} + 1\right)}{\left(x^{2} + 1\right)^{2}}
Simplify
The graph
Derivative of arcctgx
    © Mister Exam – Calculator