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The derivative of the function/ arctg((6x-1)^(1/2))

Derivative of arctg((6x-1)^(1/2))

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

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The solution

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    /  _________\
atan\\/ 6*x - 1 /
$$\operatorname{atan}{\left(\sqrt{6 x - 1} \right)}$$ 
atan(sqrt(6*x - 1))
The graph
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The first derivative [src] 
       1       
---------------
      _________
2*x*\/ 6*x - 1
$$\frac{1}{2 x \sqrt{6 x - 1}}$$
Simplify
The second derivative [src] 
 /1      3    \ 
-|- + --------| 
 \x   -1 + 6*x/ 
----------------
      __________
2*x*\/ -1 + 6*x
$$- \frac{\frac{3}{6 x - 1} + \frac{1}{x}}{2 x \sqrt{6 x - 1}}$$
Simplify
The third derivative [src] 
1          27             3      
-- + ------------- + ------------
 2               2   x*(-1 + 6*x)
x    2*(-1 + 6*x)                
---------------------------------
              __________         
          x*\/ -1 + 6*x
$$\frac{\frac{27}{2 \left(6 x - 1\right)^{2}} + \frac{3}{x \left(6 x - 1\right)} + \frac{1}{x^{2}}}{x \sqrt{6 x - 1}}$$
Simplify
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