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The derivative of the function/ sin(arctg3x)

Derivative of sin(arctg3x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
sin(atan(3*x))
$$\sin{\left(\operatorname{atan}{\left(3 x \right)} \right)}$$ 
sin(atan(3*x))
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
      3      
-------------
          3/2
/       2\   
\1 + 9*x /
$$\frac{3}{\left(9 x^{2} + 1\right)^{\frac{3}{2}}}$$
Simplify
The second derivative [src] 
    -81*x    
-------------
          5/2
/       2\   
\1 + 9*x /
$$- \frac{81 x}{\left(9 x^{2} + 1\right)^{\frac{5}{2}}}$$
Simplify
The third derivative [src] 
   /          2  \
   |      45*x   |
81*|-1 + --------|
   |            2|
   \     1 + 9*x /
------------------
            5/2   
  /       2\      
  \1 + 9*x /
$$\frac{81 \left(\frac{45 x^{2}}{9 x^{2} + 1} - 1\right)}{\left(9 x^{2} + 1\right)^{\frac{5}{2}}}$$
Simplify
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