Mister Exam

Derivative of atan(3*x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
atan(3*x)
$$\operatorname{atan}{\left(3 x \right)}$$
atan(3*x)
The graph
The first derivative [src]
   3    
--------
       2
1 + 9*x 
$$\frac{3}{9 x^{2} + 1}$$
The second derivative [src]
   -54*x   
-----------
          2
/       2\ 
\1 + 9*x / 
$$- \frac{54 x}{\left(9 x^{2} + 1\right)^{2}}$$
The third derivative [src]
   /          2  \
   |      36*x   |
54*|-1 + --------|
   |            2|
   \     1 + 9*x /
------------------
             2    
   /       2\     
   \1 + 9*x /     
$$\frac{54 \left(\frac{36 x^{2}}{9 x^{2} + 1} - 1\right)}{\left(9 x^{2} + 1\right)^{2}}$$
The graph
Derivative of atan(3*x)