Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
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Derivada de (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de (3+2x)/(x-5)
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Expresiones idénticas
- (asin(x))^e^x
- ( ar coseno de eno de (x)) en el grado e en el grado x
- (asin(x))ex
- asinxex
- asinx^e^x
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Expresiones semejantes
- (arcsin(x))^e^x
- (arcsinx)^e^x
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Expresiones con funciones
- Arcoseno arcsin
- asin(2*y)
Derivada de (asin(x))^e^x
Solución
Ha introducido
[src]
/ x\
\E /
(asin(x))
$$\operatorname{asin}^{e^{x}}{\left(x \right)}$$
asin(x)^(E^x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
[src]
/ x\ / x \
\E / | x e |
(asin(x)) *|e *log(asin(x)) + -------------------|
| ________ |
| / 2 |
\ \/ 1 - x *asin(x)/
$$\left(e^{x} \log{\left(\operatorname{asin}{\left(x \right)} \right)} + \frac{e^{x}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}^{e^{x}}{\left(x \right)}$$
Segunda derivada
[src]
/ x\ / 2 \
\e / | 1 / 1 \ x 2 x | x
(asin(x)) *|------------------ + |------------------- + log(asin(x))| *e + ------------------- + ------------------- + log(asin(x))|*e
|/ 2\ 2 | ________ | ________ 3/2 |
|\-1 + x /*asin (x) | / 2 | / 2 / 2\ |
\ \\/ 1 - x *asin(x) / \/ 1 - x *asin(x) \1 - x / *asin(x) /
$$\left(\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \left(\log{\left(\operatorname{asin}{\left(x \right)} \right)} + \frac{1}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right)^{2} e^{x} + \log{\left(\operatorname{asin}{\left(x \right)} \right)} + \frac{1}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} + \frac{2}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right) e^{x} \operatorname{asin}^{e^{x}}{\left(x \right)}$$
Tercera derivada
[src]
/ x\ / 3 2 \
\e / | 1 / 1 \ 2*x 2 3 3 3*x 3*x 3*x / 1 \ / 1 2 x \ x | x
(asin(x)) *|------------------- + |------------------- + log(asin(x))| *e + -------------------- + ------------------- + ------------------ - ------------------- + ------------------- + ------------------- + 3*|------------------- + log(asin(x))|*|------------------ + ------------------- + ------------------- + log(asin(x))|*e + log(asin(x))|*e
| 3/2 | ________ | 3/2 ________ / 2\ 2 2 3/2 5/2 | ________ | |/ 2\ 2 ________ 3/2 | |
|/ 2\ | / 2 | / 2\ 3 / 2 \-1 + x /*asin (x) / 2\ 2 / 2\ / 2\ | / 2 | |\-1 + x /*asin (x) / 2 / 2\ | |
\\1 - x / *asin(x) \\/ 1 - x *asin(x) / \1 - x / *asin (x) \/ 1 - x *asin(x) \-1 + x / *asin (x) \1 - x / *asin(x) \1 - x / *asin(x) \\/ 1 - x *asin(x) / \ \/ 1 - x *asin(x) \1 - x / *asin(x) / /
$$\left(\frac{3 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(x \right)}} - \frac{3 x}{\left(x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(x \right)}} + \frac{3 x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \left(\log{\left(\operatorname{asin}{\left(x \right)} \right)} + \frac{1}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right)^{3} e^{2 x} + 3 \left(\log{\left(\operatorname{asin}{\left(x \right)} \right)} + \frac{1}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right) \left(\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \log{\left(\operatorname{asin}{\left(x \right)} \right)} + \frac{1}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} + \frac{2}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right) e^{x} + \log{\left(\operatorname{asin}{\left(x \right)} \right)} + \frac{3}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} + \frac{3}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \frac{1}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{2}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(x \right)}}\right) e^{x} \operatorname{asin}^{e^{x}}{\left(x \right)}$$