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atan(2*x+5)

Derivative of atan(2*x+5)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
atan(2*x + 5)
$$\operatorname{atan}{\left(2 x + 5 \right)}$$
atan(2*x + 5)
The graph
The first derivative [src]
      2       
--------------
             2
1 + (2*x + 5) 
$$\frac{2}{\left(2 x + 5\right)^{2} + 1}$$
The second derivative [src]
   -8*(5 + 2*x)  
-----------------
                2
/             2\ 
\1 + (5 + 2*x) / 
$$- \frac{8 \left(2 x + 5\right)}{\left(\left(2 x + 5\right)^{2} + 1\right)^{2}}$$
The third derivative [src]
   /                 2 \
   |      4*(5 + 2*x)  |
16*|-1 + --------------|
   |                  2|
   \     1 + (5 + 2*x) /
------------------------
                   2    
   /             2\     
   \1 + (5 + 2*x) /     
$$\frac{16 \left(\frac{4 \left(2 x + 5\right)^{2}}{\left(2 x + 5\right)^{2} + 1} - 1\right)}{\left(\left(2 x + 5\right)^{2} + 1\right)^{2}}$$
The graph
Derivative of atan(2*x+5)