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xarctgx
The derivative of the function/ xarctgx

Derivative of xarctgx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
x*atan(x)
$$x \operatorname{atan}{\left(x \right)}$$ 
x*atan(x)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  x             
------ + atan(x)
     2          
1 + x
$$\frac{x}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}$$
Simplify
The second derivative [src] 
  /       2  \
  |      x   |
2*|1 - ------|
  |         2|
  \    1 + x /
--------------
         2    
    1 + x
$$\frac{2 \left(- \frac{x^{2}}{x^{2} + 1} + 1\right)}{x^{2} + 1}$$
Simplify
The third derivative [src] 
    /         2 \
    |      4*x  |
2*x*|-4 + ------|
    |          2|
    \     1 + x /
-----------------
            2    
    /     2\     
    \1 + x /
$$\frac{2 x \left(\frac{4 x^{2}}{x^{2} + 1} - 4\right)}{\left(x^{2} + 1\right)^{2}}$$
Simplify
The graph
Derivative of xarctgx
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