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y=arcsinx*e^sinx
Derivada de la función/ e^sinx/ arcsin/ y=arcsinx*e^sinx

Derivada de y=arcsinx*e^sinx

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

Ha introducido [src] 
         sin(x)
asin(x)*E
esin⁡(x)asin⁡(x)e^{\sin{\left(x \right)}} \operatorname{asin}{\left(x \right)} 
asin(x)*E^sin(x)
Gráfica
02468-8-6-4-2-1010-1010
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
   sin(x)                           
  e                           sin(x)
----------- + asin(x)*cos(x)*e      
   ________                         
  /      2                          
\/  1 - x
esin⁡(x)cos⁡(x)asin⁡(x)+esin⁡(x)1−x2e^{\sin{\left(x \right)}} \cos{\left(x \right)} \operatorname{asin}{\left(x \right)} + \frac{e^{\sin{\left(x \right)}}}{\sqrt{1 - x^{2}}}
Simplificar
Segunda derivada [src] 
/     x        /     2            \             2*cos(x) \  sin(x)
|----------- - \- cos (x) + sin(x)/*asin(x) + -----------|*e      
|        3/2                                     ________|        
|/     2\                                       /      2 |        
\\1 - x /                                     \/  1 - x  /
(x(1−x2)32−(sin⁡(x)−cos⁡2(x))asin⁡(x)+2cos⁡(x)1−x2)esin⁡(x)\left(\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \left(\sin{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \operatorname{asin}{\left(x \right)} + \frac{2 \cos{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) e^{\sin{\left(x \right)}}
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Tercera derivada [src] 
/            2                                                                                  \        
|         3*x                                                                                   |        
|  -1 + -------                                                                                 |        
|             2     /     2            \                                                        |        
|       -1 + x    3*\- cos (x) + sin(x)/   /       2              \                   3*x*cos(x)|  sin(x)
|- ------------ - ---------------------- - \1 - cos (x) + 3*sin(x)/*asin(x)*cos(x) + -----------|*e      
|          3/2            ________                                                           3/2|        
|  /     2\              /      2                                                    /     2\   |        
\  \1 - x /            \/  1 - x                                                     \1 - x /   /
(3xcos⁡(x)(1−x2)32−(3sin⁡(x)−cos⁡2(x)+1)cos⁡(x)asin⁡(x)−3(sin⁡(x)−cos⁡2(x))1−x2−3x2x2−1−1(1−x2)32)esin⁡(x)\left(\frac{3 x \cos{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \left(3 \sin{\left(x \right)} - \cos^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)} \operatorname{asin}{\left(x \right)} - \frac{3 \left(\sin{\left(x \right)} - \cos^{2}{\left(x \right)}\right)}{\sqrt{1 - x^{2}}} - \frac{\frac{3 x^{2}}{x^{2} - 1} - 1}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) e^{\sin{\left(x \right)}}
Simplificar
Gráfico
Derivada de y=arcsinx*e^sinx
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