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

Derivative of asin(sqrt(x))

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

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