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The derivative of the function/ arccot(2^x)

Derivative of arccot(2^x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
    / x\
acot\2 /
$$\operatorname{acot}{\left(2^{x} \right)}$$ 
acot(2^x)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  x        
-2 *log(2) 
-----------
       2*x 
  1 + 2
$$- \frac{2^{x} \log{\left(2 \right)}}{2^{2 x} + 1}$$
Simplify
The second derivative [src] 
           /         2*x \
 x    2    |      2*2    |
2 *log (2)*|-1 + --------|
           |          2*x|
           \     1 + 2   /
--------------------------
              2*x         
         1 + 2
$$\frac{2^{x} \left(\frac{2 \cdot 2^{2 x}}{2^{2 x} + 1} - 1\right) \log{\left(2 \right)}^{2}}{2^{2 x} + 1}$$
Simplify
The third derivative [src] 
           /           4*x         2*x \
 x    3    |        8*2         8*2    |
2 *log (2)*|-1 - ----------- + --------|
           |               2        2*x|
           |     /     2*x\    1 + 2   |
           \     \1 + 2   /            /
----------------------------------------
                     2*x                
                1 + 2
$$\frac{2^{x} \left(- \frac{8 \cdot 2^{4 x}}{\left(2^{2 x} + 1\right)^{2}} + \frac{8 \cdot 2^{2 x}}{2^{2 x} + 1} - 1\right) \log{\left(2 \right)}^{3}}{2^{2 x} + 1}$$
Simplify
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