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x^2arcsinx
The derivative of the function/ x^2arcsinx

Derivative of x^2arcsinx

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

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The solution

You have entered [src] 
 2        
x *asin(x)
$$x^{2} \operatorname{asin}{\left(x \right)}$$
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The graph
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The first derivative [src] 
      2                  
     x                   
----------- + 2*x*asin(x)
   ________              
  /      2               
\/  1 - x
$$\frac{x^{2}}{\sqrt{1 - x^{2}}} + 2 x \operatorname{asin}{\left(x \right)}$$
Simplify
The second derivative [src] 
                  3                  
                 x            4*x    
2*asin(x) + ----------- + -----------
                    3/2      ________
            /     2\        /      2 
            \1 - x /      \/  1 - x
$$\frac{x^{3}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{4 x}{\sqrt{1 - x^{2}}} + 2 \operatorname{asin}{\left(x \right)}$$
Simplify
The third derivative [src] 
                /          2 \
              2 |       3*x  |
             x *|-1 + -------|
        2       |           2|
     6*x        \     -1 + x /
6 + ------ - -----------------
         2              2     
    1 - x          1 - x      
------------------------------
            ________          
           /      2           
         \/  1 - x
$$\frac{- \frac{x^{2} \left(\frac{3 x^{2}}{x^{2} - 1} - 1\right)}{1 - x^{2}} + \frac{6 x^{2}}{1 - x^{2}} + 6}{\sqrt{1 - x^{2}}}$$
Simplify
The graph
Derivative of x^2arcsinx
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