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arctan(x^2)
The derivative of the function/ arctan(x^2)

Derivative of arctan(x^2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
    / 2\
atan\x /
$$\operatorname{atan}{\left(x^{2} \right)}$$ 
atan(x^2)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 2*x  
------
     4
1 + x
$$\frac{2 x}{x^{4} + 1}$$
Simplify
The second derivative [src] 
  /        4 \
  |     4*x  |
2*|1 - ------|
  |         4|
  \    1 + x /
--------------
         4    
    1 + x
$$\frac{2 \left(- \frac{4 x^{4}}{x^{4} + 1} + 1\right)}{x^{4} + 1}$$
Simplify
The third derivative [src] 
     /         4 \
   3 |      8*x  |
8*x *|-5 + ------|
     |          4|
     \     1 + x /
------------------
            2     
    /     4\      
    \1 + x /
$$\frac{8 x^{3} \left(\frac{8 x^{4}}{x^{4} + 1} - 5\right)}{\left(x^{4} + 1\right)^{2}}$$
Simplify
The graph
Derivative of arctan(x^2)
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