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The derivative of the function/ arcctg(2x-3)

Derivative of arcctg(2x-3)

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

The graph:

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The solution

You have entered [src] 
acot(2*x - 3)
acot⁡(2x−3)\operatorname{acot}{\left(2 x - 3 \right)} 
acot(2*x - 3)
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 + (2*x - 3)
−2(2x−3)2+1- \frac{2}{\left(2 x - 3\right)^{2} + 1}
Simplify
The second derivative [src] 
   8*(-3 + 2*x)   
------------------
                 2
/              2\ 
\1 + (-3 + 2*x) /
8(2x−3)((2x−3)2+1)2\frac{8 \left(2 x - 3\right)}{\left(\left(2 x - 3\right)^{2} + 1\right)^{2}}
Simplify
The third derivative [src] 
   /                 2 \
   |     4*(-3 + 2*x)  |
16*|1 - ---------------|
   |                  2|
   \    1 + (-3 + 2*x) /
------------------------
                    2   
   /              2\    
   \1 + (-3 + 2*x) /
16(−4(2x−3)2(2x−3)2+1+1)((2x−3)2+1)2\frac{16 \left(- \frac{4 \left(2 x - 3\right)^{2}}{\left(2 x - 3\right)^{2} + 1} + 1\right)}{\left(\left(2 x - 3\right)^{2} + 1\right)^{2}}
Simplify
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