Mister Exam

Derivative of acot(2*x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
acot(2*x)
acot(2x)\operatorname{acot}{\left(2 x \right)}
d            
--(acot(2*x))
dx           
ddxacot(2x)\frac{d}{d x} \operatorname{acot}{\left(2 x \right)}
The graph
02468-8-6-4-2-10105-5
The first derivative [src]
  -2    
--------
       2
1 + 4*x 
24x2+1- \frac{2}{4 x^{2} + 1}
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}}
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}}
The graph
Derivative of acot(2*x)