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arctg2x
The derivative of the function/ arctg2x

Derivative of arctg2x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
atan(2*x)
atan⁡(2x)\operatorname{atan}{\left(2 x \right)} 
atan(2*x)
The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   2    
--------
       2
1 + 4*x
24x2+1\frac{2}{4 x^{2} + 1}
Simplify
The second derivative [src] 
   -16*x   
-----------
          2
/       2\ 
\1 + 4*x /
−16x(4x2+1)2- \frac{16 x}{\left(4 x^{2} + 1\right)^{2}}
Simplify
The third derivative [src] 
   /          2  \
   |      16*x   |
16*|-1 + --------|
   |            2|
   \     1 + 4*x /
------------------
             2    
   /       2\     
   \1 + 4*x /
16(16x24x2+1−1)(4x2+1)2\frac{16 \left(\frac{16 x^{2}}{4 x^{2} + 1} - 1\right)}{\left(4 x^{2} + 1\right)^{2}}
Simplify
The graph
Derivative of arctg2x
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