Mister Exam

Derivative of x*asin(x)

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

The graph:

from to

Piecewise:

The solution

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