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The derivative of the function/ arctg(7*x+2)

Derivative of arctg(7*x+2)

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

The graph:

from to

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The solution

You have entered [src] 
atan(7*x + 2)
$$\operatorname{atan}{\left(7 x + 2 \right)}$$ 
atan(7*x + 2)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
      7       
--------------
             2
1 + (7*x + 2)
$$\frac{7}{\left(7 x + 2\right)^{2} + 1}$$
Simplify
The second derivative [src] 
  -98*(2 + 7*x)  
-----------------
                2
/             2\ 
\1 + (2 + 7*x) /
$$- \frac{98 \left(7 x + 2\right)}{\left(\left(7 x + 2\right)^{2} + 1\right)^{2}}$$
Simplify
The third derivative [src] 
    /                 2 \
    |      4*(2 + 7*x)  |
686*|-1 + --------------|
    |                  2|
    \     1 + (2 + 7*x) /
-------------------------
                    2    
    /             2\     
    \1 + (2 + 7*x) /
$$\frac{686 \left(\frac{4 \left(7 x + 2\right)^{2}}{\left(7 x + 2\right)^{2} + 1} - 1\right)}{\left(\left(7 x + 2\right)^{2} + 1\right)^{2}}$$
Simplify
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