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)^x^ cinco
- y es igual a (arc seno de 4x) en el grado x en el grado 5
- y es igual a (arc seno de 4x) en el grado x en el grado cinco
- y=(arcsin4x)x5
- y=arcsin4xx5
- y=(arcsin4x)^x⁵
- y=arcsin4x^x^5
Derivada de y=(arcsin4x)^x^5
Solución
Ha introducido
[src]
/ 5\
\x /
(asin(4*x))
$$\operatorname{asin}^{x^{5}}{\left(4 x \right)}$$
asin(4*x)^(x^5)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ 5\ / 5 \
\x / | 4 4*x |
(asin(4*x)) *|5*x *log(asin(4*x)) + ------------------------|
| ___________ |
| / 2 |
\ \/ 1 - 16*x *asin(4*x)/
$$\left(\frac{4 x^{5}}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}} + 5 x^{4} \log{\left(\operatorname{asin}{\left(4 x \right)} \right)}\right) \operatorname{asin}^{x^{5}}{\left(4 x \right)}$$
Segunda derivada
[src]
/ 5\ / 2 2 3 \
3 \x / | 5 / 4*x \ 16*x 40*x 64*x |
x *(asin(4*x)) *|20*log(asin(4*x)) + x *|5*log(asin(4*x)) + ------------------------| + ----------------------- + ------------------------ + ------------------------|
| | ___________ | / 2\ 2 ___________ 3/2 |
| | / 2 | \-1 + 16*x /*asin (4*x) / 2 / 2\ |
\ \ \/ 1 - 16*x *asin(4*x)/ \/ 1 - 16*x *asin(4*x) \1 - 16*x / *asin(4*x)/
$$x^{3} \left(x^{5} \left(\frac{4 x}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}} + 5 \log{\left(\operatorname{asin}{\left(4 x \right)} \right)}\right)^{2} + \frac{64 x^{3}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(4 x \right)}} + \frac{16 x^{2}}{\left(16 x^{2} - 1\right) \operatorname{asin}^{2}{\left(4 x \right)}} + \frac{40 x}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}} + 20 \log{\left(\operatorname{asin}{\left(4 x \right)} \right)}\right) \operatorname{asin}^{x^{5}}{\left(4 x \right)}$$
Tercera derivada
[src]
/ 5\ / 3 4 / 2 3 \ 3 2 3 5 \
2 \x / | 10 / 4*x \ 768*x 5 / 4*x \ | 4*x 10*x 16*x | 128*x 240*x 240*x 1024*x 3072*x |
x *(asin(4*x)) *|60*log(asin(4*x)) + x *|5*log(asin(4*x)) + ------------------------| - ------------------------ + 12*x *|5*log(asin(4*x)) + ------------------------|*|5*log(asin(4*x)) + ----------------------- + ------------------------ + ------------------------| + ------------------------- + ------------------------ + ----------------------- + ------------------------ + ------------------------|
| | ___________ | 2 | ___________ | | / 2\ 2 ___________ 3/2 | 3/2 ___________ / 2\ 2 3/2 5/2 |
| | / 2 | / 2\ 2 | / 2 | | \-1 + 16*x /*asin (4*x) / 2 / 2\ | / 2\ 3 / 2 \-1 + 16*x /*asin (4*x) / 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)/
$$x^{2} \left(x^{10} \left(\frac{4 x}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}} + 5 \log{\left(\operatorname{asin}{\left(4 x \right)} \right)}\right)^{3} + 12 x^{5} \left(\frac{4 x}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}} + 5 \log{\left(\operatorname{asin}{\left(4 x \right)} \right)}\right) \left(\frac{16 x^{3}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(4 x \right)}} + \frac{4 x^{2}}{\left(16 x^{2} - 1\right) \operatorname{asin}^{2}{\left(4 x \right)}} + \frac{10 x}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}} + 5 \log{\left(\operatorname{asin}{\left(4 x \right)} \right)}\right) + \frac{3072 x^{5}}{\left(1 - 16 x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(4 x \right)}} - \frac{768 x^{4}}{\left(16 x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(4 x \right)}} + \frac{1024 x^{3}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(4 x \right)}} + \frac{128 x^{3}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(4 x \right)}} + \frac{240 x^{2}}{\left(16 x^{2} - 1\right) \operatorname{asin}^{2}{\left(4 x \right)}} + \frac{240 x}{\sqrt{1 - 16 x^{2}} \operatorname{asin}{\left(4 x \right)}} + 60 \log{\left(\operatorname{asin}{\left(4 x \right)} \right)}\right) \operatorname{asin}^{x^{5}}{\left(4 x \right)}$$