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acot(2*x^2)
The derivative of the function/ acot(2*x^2)

Derivative of acot(2*x^2)

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

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The solution

You have entered [src] 
    /   2\
acot\2*x /
acot⁡(2x2)\operatorname{acot}{\left(2 x^{2} \right)} 
acot(2*x^2)
The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  -4*x  
--------
       4
1 + 4*x
−4x4x4+1- \frac{4 x}{4 x^{4} + 1}
Simplify
The second derivative [src] 
  /          4  \
  |      16*x   |
4*|-1 + --------|
  |            4|
  \     1 + 4*x /
-----------------
            4    
     1 + 4*x
4(16x44x4+1−1)4x4+1\frac{4 \left(\frac{16 x^{4}}{4 x^{4} + 1} - 1\right)}{4 x^{4} + 1}
Simplify
The third derivative [src] 
      /         4  \
    3 |     32*x   |
64*x *|5 - --------|
      |           4|
      \    1 + 4*x /
--------------------
              2     
    /       4\      
    \1 + 4*x /
64x3(−32x44x4+1+5)(4x4+1)2\frac{64 x^{3} \left(- \frac{32 x^{4}}{4 x^{4} + 1} + 5\right)}{\left(4 x^{4} + 1\right)^{2}}
Simplify
The graph
Derivative of acot(2*x^2)
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