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arctg(3x)
The derivative of the function/ arctg(3x)

Derivative of arctg(3x)

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

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The solution

You have entered [src] 
atan(3*x)
$$\operatorname{atan}{\left(3 x \right)}$$ 
d            
--(atan(3*x))
dx
$$\frac{d}{d x} \operatorname{atan}{\left(3 x \right)}$$
Transform
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   3    
--------
       2
1 + 9*x
$$\frac{3}{9 x^{2} + 1}$$
Simplify
The second derivative [src] 
   -54*x   
-----------
          2
/       2\ 
\1 + 9*x /
$$- \frac{54 x}{\left(9 x^{2} + 1\right)^{2}}$$
Simplify
The third derivative [src] 
   /          2  \
   |      36*x   |
54*|-1 + --------|
   |            2|
   \     1 + 9*x /
------------------
             2    
   /       2\     
   \1 + 9*x /
$$\frac{54 \cdot \left(\frac{36 x^{2}}{9 x^{2} + 1} - 1\right)}{\left(9 x^{2} + 1\right)^{2}}$$
Simplify
The graph
Derivative of arctg(3x)
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