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xarcsinx+(sqrt1+x^2)

Derivative of xarcsinx+(sqrt1+x^2)

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

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The solution

You have entered [src]
              ___    2
x*asin(x) + \/ 1  + x 
$$x \operatorname{asin}{\left(x \right)} + \left(x^{2} + \sqrt{1}\right)$$
The graph
The first derivative [src]
           x               
2*x + ----------- + asin(x)
         ________          
        /      2           
      \/  1 - x            
$$2 x + \frac{x}{\sqrt{1 - x^{2}}} + \operatorname{asin}{\left(x \right)}$$
The second derivative [src]
                        2    
         2             x     
2 + ----------- + -----------
       ________           3/2
      /      2    /     2\   
    \/  1 - x     \1 - x /   
$$\frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 + \frac{2}{\sqrt{1 - x^{2}}}$$
The third derivative [src]
  /        2 \
  |     3*x  |
x*|4 + ------|
  |         2|
  \    1 - x /
--------------
         3/2  
 /     2\     
 \1 - x /     
$$\frac{x \left(\frac{3 x^{2}}{1 - x^{2}} + 4\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}}$$
The graph
Derivative of xarcsinx+(sqrt1+x^2)