Mister Exam

Other calculators


acot(2*x^2)

Derivative of acot(2*x^2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
    /   2\
acot\2*x /
$$\operatorname{acot}{\left(2 x^{2} \right)}$$
acot(2*x^2)
The graph
The first derivative [src]
  -4*x  
--------
       4
1 + 4*x 
$$- \frac{4 x}{4 x^{4} + 1}$$
The second derivative [src]
  /          4  \
  |      16*x   |
4*|-1 + --------|
  |            4|
  \     1 + 4*x /
-----------------
            4    
     1 + 4*x     
$$\frac{4 \left(\frac{16 x^{4}}{4 x^{4} + 1} - 1\right)}{4 x^{4} + 1}$$
The third derivative [src]
      /         4  \
    3 |     32*x   |
64*x *|5 - --------|
      |           4|
      \    1 + 4*x /
--------------------
              2     
    /       4\      
    \1 + 4*x /      
$$\frac{64 x^{3} \left(- \frac{32 x^{4}}{4 x^{4} + 1} + 5\right)}{\left(4 x^{4} + 1\right)^{2}}$$
The graph
Derivative of acot(2*x^2)