Mister Exam

Other calculators

x*acot(x)
The derivative of the function/ x*acot(x)

Derivative of x*acot(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
x*acot(x)
xacot⁡(x)x \operatorname{acot}{\left(x \right)} 
x*acot(x)
The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    x             
- ------ + acot(x)
       2          
  1 + x
−xx2+1+acot⁡(x)- \frac{x}{x^{2} + 1} + \operatorname{acot}{\left(x \right)}
Simplify
The second derivative [src] 
  /        2  \
  |       x   |
2*|-1 + ------|
  |          2|
  \     1 + x /
---------------
          2    
     1 + x
2(x2x2+1−1)x2+1\frac{2 \left(\frac{x^{2}}{x^{2} + 1} - 1\right)}{x^{2} + 1}
Simplify
The third derivative [src] 
    /        2 \
    |     4*x  |
2*x*|4 - ------|
    |         2|
    \    1 + x /
----------------
           2    
   /     2\     
   \1 + x /
2x(−4x2x2+1+4)(x2+1)2\frac{2 x \left(- \frac{4 x^{2}}{x^{2} + 1} + 4\right)}{\left(x^{2} + 1\right)^{2}}
Simplify
The graph
Derivative of x*acot(x)
    © Mister Exam – Calculator