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The derivative of the function/ arcthx^2

Derivative of arcthx^2

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

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from to

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The solution

You have entered [src] 
     2   
atanh (x)
$$\operatorname{atanh}^{2}{\left(x \right)}$$ 
atanh(x)^2
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
2*atanh(x)
----------
       2  
  1 - x
$$\frac{2 \operatorname{atanh}{\left(x \right)}}{1 - x^{2}}$$
Simplify
The second derivative [src] 
2*(1 + 2*x*atanh(x))
--------------------
              2     
     /      2\      
     \-1 + x /
$$\frac{2 \left(2 x \operatorname{atanh}{\left(x \right)} + 1\right)}{\left(x^{2} - 1\right)^{2}}$$
Simplify
The third derivative [src] 
  /               2                    \
  |    3*x     4*x *atanh(x)           |
4*|- ------- - ------------- + atanh(x)|
  |        2            2              |
  \  -1 + x       -1 + x               /
----------------------------------------
                        2               
               /      2\                
               \-1 + x /
$$\frac{4 \left(- \frac{4 x^{2} \operatorname{atanh}{\left(x \right)}}{x^{2} - 1} - \frac{3 x}{x^{2} - 1} + \operatorname{atanh}{\left(x \right)}\right)}{\left(x^{2} - 1\right)^{2}}$$
Simplify
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