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 y=3*2^x+4*3^x
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Derivada de y=13-7x
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Derivada de (x⁴-10)
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Derivada de x^4(3x-7)^5
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Expresiones idénticas
- y=(arcsinx)^sin2x
- y es igual a (arc seno de x) en el grado seno de 2x
- y=(arcsinx)sin2x
- y=arcsinxsin2x
- y=arcsinx^sin2x
Derivada de y=(arcsinx)^sin2x
Solución
Ha introducido
[src]
sin(2*x) asin (x)
$$\operatorname{asin}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
asin(x)^sin(2*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
sin(2*x) / sin(2*x) \
asin (x)*|2*cos(2*x)*log(asin(x)) + -------------------|
| ________ |
| / 2 |
\ \/ 1 - x *asin(x)/
$$\left(2 \log{\left(\operatorname{asin}{\left(x \right)} \right)} \cos{\left(2 x \right)} + \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 \
sin(2*x) |/ sin(2*x) \ sin(2*x) 4*cos(2*x) x*sin(2*x) |
asin (x)*||2*cos(2*x)*log(asin(x)) + -------------------| - 4*log(asin(x))*sin(2*x) + ------------------ + ------------------- + -------------------|
|| ________ | / 2\ 2 ________ 3/2 |
|| / 2 | \-1 + x /*asin (x) / 2 / 2\ |
\\ \/ 1 - x *asin(x)/ \/ 1 - x *asin(x) \1 - x / *asin(x)/
$$\left(\frac{x \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \left(2 \log{\left(\operatorname{asin}{\left(x \right)} \right)} \cos{\left(2 x \right)} + \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right)^{2} - 4 \log{\left(\operatorname{asin}{\left(x \right)} \right)} \sin{\left(2 x \right)} + \frac{\sin{\left(2 x \right)}}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} + \frac{4 \cos{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 \
sin(2*x) |/ sin(2*x) \ / sin(2*x) \ / sin(2*x) 4*cos(2*x) x*sin(2*x) \ sin(2*x) 12*sin(2*x) 2*sin(2*x) 6*cos(2*x) 3*x*sin(2*x) 3*x *sin(2*x) 6*x*cos(2*x) |
asin (x)*||2*cos(2*x)*log(asin(x)) + -------------------| - 8*cos(2*x)*log(asin(x)) + 3*|2*cos(2*x)*log(asin(x)) + -------------------|*|-4*log(asin(x))*sin(2*x) + ------------------ + ------------------- + -------------------| + ------------------- - ------------------- + -------------------- + ------------------ - ------------------- + ------------------- + -------------------|
|| ________ | | ________ | | / 2\ 2 ________ 3/2 | 3/2 ________ 3/2 / 2\ 2 2 5/2 3/2 |
|| / 2 | | / 2 | | \-1 + x /*asin (x) / 2 / 2\ | / 2\ / 2 / 2\ 3 \-1 + x /*asin (x) / 2\ 2 / 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)/
$$\left(\frac{3 x^{2} \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(x \right)}} - \frac{3 x \sin{\left(2 x \right)}}{\left(x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(x \right)}} + \frac{6 x \cos{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \left(2 \log{\left(\operatorname{asin}{\left(x \right)} \right)} \cos{\left(2 x \right)} + \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right)^{3} + 3 \left(2 \log{\left(\operatorname{asin}{\left(x \right)} \right)} \cos{\left(2 x \right)} + \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right) \left(\frac{x \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} - 4 \log{\left(\operatorname{asin}{\left(x \right)} \right)} \sin{\left(2 x \right)} + \frac{\sin{\left(2 x \right)}}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} + \frac{4 \cos{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}\right) - 8 \log{\left(\operatorname{asin}{\left(x \right)} \right)} \cos{\left(2 x \right)} + \frac{6 \cos{\left(2 x \right)}}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} - \frac{12 \sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \frac{\sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{2 \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(x \right)}}\right) \operatorname{asin}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Gráfico