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The derivative of the function/ arcctg3x

Derivative of arcctg3x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
acot(3*x)
acot⁡(3x)\operatorname{acot}{\left(3 x \right)} 
acot(3*x)
The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  -3    
--------
       2
1 + 9*x
−39x2+1- \frac{3}{9 x^{2} + 1}
Simplify
The second derivative [src] 
    54*x   
-----------
          2
/       2\ 
\1 + 9*x /
54x(9x2+1)2\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 /
54(−36x29x2+1+1)(9x2+1)2\frac{54 \left(- \frac{36 x^{2}}{9 x^{2} + 1} + 1\right)}{\left(9 x^{2} + 1\right)^{2}}
Simplify
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