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 (3x^4-x)^7
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Derivada de (3x+6)^2
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Derivada de (1+cos(x))/(1-cos(x))
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Derivada de (2*x-9)/(x-5)
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Expresiones idénticas
- y=(arcsin4x)^cos2x
- y es igual a (arc seno de 4x) en el grado coseno de 2x
- y=(arcsin4x)cos2x
- y=arcsin4xcos2x
- y=arcsin4x^cos2x
Derivada de y=(arcsin4x)^cos2x
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
cos(2*x) / 4*cos(2*x) \
asin (4*x)*|-2*log(asin(4*x))*sin(2*x) + ------------------------|
| ___________ |
| / 2 |
\ \/ 1 - 16*x *asin(4*x)/
$$\left(- 2 \log{\left(\operatorname{asin}{\left(4 x \right)} \right)} \sin{\left(2 x \right)} + \frac{4 \cos{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}}\right) \operatorname{asin}^{\cos{\left(2 x \right)}}{\left(4 x \right)}$$
Segunda derivada
[src]
/ 2 \
cos(2*x) |/ 2*cos(2*x) \ 4*sin(2*x) 4*cos(2*x) 16*x*cos(2*x) |
4*asin (4*x)*||log(asin(4*x))*sin(2*x) - ------------------------| - cos(2*x)*log(asin(4*x)) - ------------------------ + ----------------------- + ------------------------|
|| ___________ | ___________ / 2\ 2 3/2 |
|| / 2 | / 2 \-1 + 16*x /*asin (4*x) / 2\ |
\\ \/ 1 - 16*x *asin(4*x)/ \/ 1 - 16*x *asin(4*x) \1 - 16*x / *asin(4*x)/
$$4 \left(\frac{16 x \cos{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(4 x \right)}} + \left(\log{\left(\operatorname{asin}{\left(4 x \right)} \right)} \sin{\left(2 x \right)} - \frac{2 \cos{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}}\right)^{2} - \log{\left(\operatorname{asin}{\left(4 x \right)} \right)} \cos{\left(2 x \right)} + \frac{4 \cos{\left(2 x \right)}}{\left(16 x^{2} - 1\right) \operatorname{asin}^{2}{\left(4 x \right)}} - \frac{4 \sin{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}}\right) \operatorname{asin}^{\cos{\left(2 x \right)}}{\left(4 x \right)}$$
Tercera derivada
[src]
/ 3 2 \
cos(2*x) | / 2*cos(2*x) \ / 2*cos(2*x) \ / 4*sin(2*x) 4*cos(2*x) 16*x*cos(2*x) \ 12*sin(2*x) 6*cos(2*x) 8*cos(2*x) 16*cos(2*x) 96*x*cos(2*x) 48*x*sin(2*x) 384*x *cos(2*x) |
8*asin (4*x)*|- |log(asin(4*x))*sin(2*x) - ------------------------| + log(asin(4*x))*sin(2*x) - 3*|log(asin(4*x))*sin(2*x) - ------------------------|*|-cos(2*x)*log(asin(4*x)) - ------------------------ + ----------------------- + ------------------------| - ----------------------- - ------------------------ + ------------------------ + ------------------------- - ------------------------ - ------------------------ + ------------------------|
| | ___________ | | ___________ | | ___________ / 2\ 2 3/2 | / 2\ 2 ___________ 3/2 3/2 2 3/2 5/2 |
| | / 2 | | / 2 | | / 2 \-1 + 16*x /*asin (4*x) / 2\ | \-1 + 16*x /*asin (4*x) / 2 / 2\ / 2\ 3 / 2\ 2 / 2\ / 2\ |
\ \ \/ 1 - 16*x *asin(4*x)/ \ \/ 1 - 16*x *asin(4*x)/ \ \/ 1 - 16*x *asin(4*x) \1 - 16*x / *asin(4*x)/ \/ 1 - 16*x *asin(4*x) \1 - 16*x / *asin(4*x) \1 - 16*x / *asin (4*x) \-1 + 16*x / *asin (4*x) \1 - 16*x / *asin(4*x) \1 - 16*x / *asin(4*x)/
$$8 \left(\frac{384 x^{2} \cos{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(4 x \right)}} - \frac{96 x \cos{\left(2 x \right)}}{\left(16 x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(4 x \right)}} - \frac{48 x \sin{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(4 x \right)}} - \left(\log{\left(\operatorname{asin}{\left(4 x \right)} \right)} \sin{\left(2 x \right)} - \frac{2 \cos{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}}\right)^{3} - 3 \left(\log{\left(\operatorname{asin}{\left(4 x \right)} \right)} \sin{\left(2 x \right)} - \frac{2 \cos{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}}\right) \left(\frac{16 x \cos{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(4 x \right)}} - \log{\left(\operatorname{asin}{\left(4 x \right)} \right)} \cos{\left(2 x \right)} + \frac{4 \cos{\left(2 x \right)}}{\left(16 x^{2} - 1\right) \operatorname{asin}^{2}{\left(4 x \right)}} - \frac{4 \sin{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}}\right) + \log{\left(\operatorname{asin}{\left(4 x \right)} \right)} \sin{\left(2 x \right)} - \frac{12 \sin{\left(2 x \right)}}{\left(16 x^{2} - 1\right) \operatorname{asin}^{2}{\left(4 x \right)}} - \frac{6 \cos{\left(2 x \right)}}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}} + \frac{8 \cos{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(4 x \right)}} + \frac{16 \cos{\left(2 x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(4 x \right)}}\right) \operatorname{asin}^{\cos{\left(2 x \right)}}{\left(4 x \right)}$$
Gráfico