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The derivative of the function/ asinsqrt(x+1)

Derivative of asinsqrt(x+1)

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

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The solution

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