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atan(3*x^2)

Derivative of atan(3*x^2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
    /   2\
atan\3*x /
$$\operatorname{atan}{\left(3 x^{2} \right)}$$
d /    /   2\\
--\atan\3*x //
dx            
$$\frac{d}{d x} \operatorname{atan}{\left(3 x^{2} \right)}$$
The graph
The first derivative [src]
  6*x   
--------
       4
1 + 9*x 
$$\frac{6 x}{9 x^{4} + 1}$$
The second derivative [src]
  /         4  \
  |     36*x   |
6*|1 - --------|
  |           4|
  \    1 + 9*x /
----------------
           4    
    1 + 9*x     
$$\frac{6 \left(- \frac{36 x^{4}}{9 x^{4} + 1} + 1\right)}{9 x^{4} + 1}$$
The third derivative [src]
       /          4  \
     3 |      72*x   |
216*x *|-5 + --------|
       |            4|
       \     1 + 9*x /
----------------------
               2      
     /       4\       
     \1 + 9*x /       
$$\frac{216 x^{3} \cdot \left(\frac{72 x^{4}}{9 x^{4} + 1} - 5\right)}{\left(9 x^{4} + 1\right)^{2}}$$
The graph
Derivative of atan(3*x^2)