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The derivative of the function/ sqrt(arctgx^4)

Derivative of sqrt(arctgx^4)

Function f() - derivative -N order at the point
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The solution

You have entered [src] 
   __________
  /     4    
\/  acot (x)
acot⁡4(x)\sqrt{\operatorname{acot}^{4}{\left(x \right)}} 
sqrt(acot(x)^4)
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*acot (x)   
----------------
/     2\        
\1 + x /*acot(x)
−2acot⁡2(x)(x2+1)acot⁡(x)- \frac{2 \operatorname{acot}^{2}{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}
Simplify
The second derivative [src] 
2*(1 + 2*x*acot(x))
-------------------
             2     
     /     2\      
     \1 + x /
2(2xacot⁡(x)+1)(x2+1)2\frac{2 \left(2 x \operatorname{acot}{\left(x \right)} + 1\right)}{\left(x^{2} + 1\right)^{2}}
Simplify
The third derivative [src] 
  /              2                  \
  |   3*x     4*x *acot(x)          |
4*|- ------ - ------------ + acot(x)|
  |       2           2             |
  \  1 + x       1 + x              /
-------------------------------------
                      2              
              /     2\               
              \1 + x /
4(−4x2acot⁡(x)x2+1−3xx2+1+acot⁡(x))(x2+1)2\frac{4 \left(- \frac{4 x^{2} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} - \frac{3 x}{x^{2} + 1} + \operatorname{acot}{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2}}
Simplify
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