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The derivative of the function/ arctg((x-1)^(1/2))

Derivative of arctg((x-1)^(1/2))

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

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The solution

You have entered [src] 
    /  _______\
atan\\/ x - 1 /
$$\operatorname{atan}{\left(\sqrt{x - 1} \right)}$$ 
atan(sqrt(x - 1))
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
      1      
-------------
      _______
2*x*\/ x - 1
$$\frac{1}{2 x \sqrt{x - 1}}$$
Simplify
The second derivative [src] 
 /  1      2\ 
-|------ + -| 
 \-1 + x   x/ 
--------------
      ________
4*x*\/ -1 + x
$$- \frac{\frac{1}{x - 1} + \frac{2}{x}}{4 x \sqrt{x - 1}}$$
Simplify
The third derivative [src] 
1         3             1      
-- + ----------- + ------------
 2             2   2*x*(-1 + x)
x    8*(-1 + x)                
-------------------------------
              ________         
          x*\/ -1 + x
$$\frac{\frac{3}{8 \left(x - 1\right)^{2}} + \frac{1}{2 x \left(x - 1\right)} + \frac{1}{x^{2}}}{x \sqrt{x - 1}}$$
Simplify
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