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The derivative of the function/ asin(y/sqrt(y))

Derivative of asin(y/sqrt(y))

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

The graph:

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The solution

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