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y=(arcsinx^2)^x
Derivada de la función/ sinx^2/ arcsin/ y=(arcsinx^2)^x

Derivada de y=(arcsinx^2)^x

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

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Solución

Ha introducido [src] 
        x
    2    
asin (x)
(asin⁡2(x))x\left(\operatorname{asin}^{2}{\left(x \right)}\right)^{x} 
(asin(x)^2)^x
Solución detallada

  1. No logro encontrar los pasos en la búsqueda de esta derivada.

    Perola derivada

    xx(log⁡(x)+1)x^{x} \left(\log{\left(x \right)} + 1\right)

Respuesta:

xx(log⁡(x)+1)x^{x} \left(\log{\left(x \right)} + 1\right)

Gráfica
02468-8-6-4-2-1010-1010
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Primera derivada [src] 
        x                                      
    2     /        2*x              /    2   \\
asin (x) *|------------------- + log\asin (x)/|
          |   ________                        |
          |  /      2                         |
          \\/  1 - x  *asin(x)                /
(2x1−x2asin⁡(x)+log⁡(asin⁡2(x)))(asin⁡2(x))x\left(\frac{2 x}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \log{\left(\operatorname{asin}^{2}{\left(x \right)} \right)}\right) \left(\operatorname{asin}^{2}{\left(x \right)}\right)^{x}
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Segunda derivada [src] 
          /                                           /                    2                        \\
          |                                           |     2             x                x        ||
          |                                         2*|----------- + ----------- + -----------------||
          |                                           |   ________           3/2   /      2\        ||
        x |                                     2     |  /      2    /     2\      \-1 + x /*asin(x)||
    2     |/        2*x              /    2   \\      \\/  1 - x     \1 - x /                       /|
asin (x) *||------------------- + log\asin (x)/|  + -------------------------------------------------|
          ||   ________                        |                         asin(x)                     |
          ||  /      2                         |                                                     |
          \\\/  1 - x  *asin(x)                /                                                     /
((2x1−x2asin⁡(x)+log⁡(asin⁡2(x)))2+2(x2(1−x2)32+x(x2−1)asin⁡(x)+21−x2)asin⁡(x))(asin⁡2(x))x\left(\left(\frac{2 x}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \log{\left(\operatorname{asin}^{2}{\left(x \right)} \right)}\right)^{2} + \frac{2 \left(\frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{x}{\left(x^{2} - 1\right) \operatorname{asin}{\left(x \right)}} + \frac{2}{\sqrt{1 - x^{2}}}\right)}{\operatorname{asin}{\left(x \right)}}\right) \left(\operatorname{asin}^{2}{\left(x \right)}\right)^{x}
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Tercera derivada [src] 
          /                                           /       3                                                  2                              \                                           /                    2                        \\
          |                                           |    3*x               3               4*x              3*x                   2*x         |     /        2*x              /    2   \\ |     2             x                x        ||
          |                                         2*|----------- + ----------------- + ----------- - ------------------ + --------------------|   6*|------------------- + log\asin (x)/|*|----------- + ----------- + -----------------||
          |                                           |        5/2   /      2\                   3/2            2                   3/2         |     |   ________                        | |   ________           3/2   /      2\        ||
        x |                                     3     |/     2\      \-1 + x /*asin(x)   /     2\      /      2\            /     2\        2   |     |  /      2                         | |  /      2    /     2\      \-1 + x /*asin(x)||
    2     |/        2*x              /    2   \\      \\1 - x /                          \1 - x /      \-1 + x / *asin(x)   \1 - x /   *asin (x)/     \\/  1 - x  *asin(x)                / \\/  1 - x     \1 - x /                       /|
asin (x) *||------------------- + log\asin (x)/|  + --------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------|
          ||   ________                        |                                               asin(x)                                                                                      asin(x)                                        |
          ||  /      2                         |                                                                                                                                                                                           |
          \\\/  1 - x  *asin(x)                /                                                                                                                                                                                           /
((2x1−x2asin⁡(x)+log⁡(asin⁡2(x)))3+6(2x1−x2asin⁡(x)+log⁡(asin⁡2(x)))(x2(1−x2)32+x(x2−1)asin⁡(x)+21−x2)asin⁡(x)+2(3x3(1−x2)52−3x2(x2−1)2asin⁡(x)+4x(1−x2)32+2x(1−x2)32asin⁡2(x)+3(x2−1)asin⁡(x))asin⁡(x))(asin⁡2(x))x\left(\left(\frac{2 x}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \log{\left(\operatorname{asin}^{2}{\left(x \right)} \right)}\right)^{3} + \frac{6 \left(\frac{2 x}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \log{\left(\operatorname{asin}^{2}{\left(x \right)} \right)}\right) \left(\frac{x^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{x}{\left(x^{2} - 1\right) \operatorname{asin}{\left(x \right)}} + \frac{2}{\sqrt{1 - x^{2}}}\right)}{\operatorname{asin}{\left(x \right)}} + \frac{2 \left(\frac{3 x^{3}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{3 x^{2}}{\left(x^{2} - 1\right)^{2} \operatorname{asin}{\left(x \right)}} + \frac{4 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2 x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(x \right)}} + \frac{3}{\left(x^{2} - 1\right) \operatorname{asin}{\left(x \right)}}\right)}{\operatorname{asin}{\left(x \right)}}\right) \left(\operatorname{asin}^{2}{\left(x \right)}\right)^{x}
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Gráfico
Derivada de y=(arcsinx^2)^x
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