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The derivative of the function/ log(1+x)+asin(x)/2

Derivative of log(1+x)+asin(x)/2

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

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from to

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The solution

You have entered [src] 
             asin(x)
log(1 + x) + -------
                2
$$\log{\left(x + 1 \right)} + \frac{\operatorname{asin}{\left(x \right)}}{2}$$ 
log(1 + x) + asin(x)/2
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  1           1      
----- + -------------
1 + x        ________
            /      2 
        2*\/  1 - x
$$\frac{1}{x + 1} + \frac{1}{2 \sqrt{1 - x^{2}}}$$
Simplify
The second derivative [src] 
     1             x      
- -------- + -------------
         2             3/2
  (1 + x)      /     2\   
             2*\1 - x /
$$\frac{x}{2 \left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{1}{\left(x + 1\right)^{2}}$$
Simplify
The third derivative [src] 
                                   2    
      1            2            3*x     
------------- + -------- + -------------
          3/2          3             5/2
  /     2\      (1 + x)      /     2\   
2*\1 - x /                 2*\1 - x /
$$\frac{3 x^{2}}{2 \left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{2}{\left(x + 1\right)^{3}} + \frac{1}{2 \left(1 - x^{2}\right)^{\frac{3}{2}}}$$
Simplify
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