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y=arcsinx^1/2
Derivada de la función/ x^1/2/ arcsin/ y=arcsinx^1/2

Derivada de y=arcsinx^1/2

Función f() - derivada -er orden en el punto
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Solución

Ha introducido [src] 
  _________
\/ asin(x)
asin⁡(x)\sqrt{\operatorname{asin}{\left(x \right)}} 
sqrt(asin(x))
Primera derivada [src] 
            1            
-------------------------
     ________            
    /      2    _________
2*\/  1 - x  *\/ asin(x)
121−x2asin⁡(x)\frac{1}{2 \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}}
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Segunda derivada [src] 
        1               2*x    
----------------- + -----------
/      2\                   3/2
\-1 + x /*asin(x)   /     2\   
                    \1 - x /   
-------------------------------
             _________         
         4*\/ asin(x)
2x(1−x2)32+1(x2−1)asin⁡(x)4asin⁡(x)\frac{\frac{2 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{1}{\left(x^{2} - 1\right) \operatorname{asin}{\left(x \right)}}}{4 \sqrt{\operatorname{asin}{\left(x \right)}}}
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Tercera derivada [src] 
                                            2                        
     4                 3                12*x              6*x        
----------- + -------------------- + ----------- - ------------------
        3/2           3/2                    5/2            2        
/     2\      /     2\        2      /     2\      /      2\         
\1 - x /      \1 - x /   *asin (x)   \1 - x /      \-1 + x / *asin(x)
---------------------------------------------------------------------
                                _________                            
                            8*\/ asin(x)
12x2(1−x2)52−6x(x2−1)2asin⁡(x)+4(1−x2)32+3(1−x2)32asin⁡2(x)8asin⁡(x)\frac{\frac{12 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{6 x}{\left(x^{2} - 1\right)^{2} \operatorname{asin}{\left(x \right)}} + \frac{4}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(x \right)}}}{8 \sqrt{\operatorname{asin}{\left(x \right)}}}
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Gráfico
Derivada de y=arcsinx^1/2
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