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 x^-8
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Derivada de x^2/lnx
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Derivada de √x+2
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Derivada de (t^(2)+1)÷(t^(1÷2)-1)
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Expresiones idénticas
- y=(tg3x)^sin6x
- y es igual a (tg3x) en el grado seno de 6x
- y=(tg3x)sin6x
- y=tg3xsin6x
- y=tg3x^sin6x
Derivada de y=(tg3x)^sin6x
Solución
Ha introducido
[src]
sin(6*x) tan (3*x)
$$\tan^{\sin{\left(6 x \right)}}{\left(3 x \right)}$$
tan(3*x)^sin(6*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
sin(6*x) | \3 + 3*tan (3*x)/*sin(6*x)|
tan (3*x)*|6*cos(6*x)*log(tan(3*x)) + --------------------------|
\ tan(3*x) /
$$\left(\frac{\left(3 \tan^{2}{\left(3 x \right)} + 3\right) \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 6 \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(6 x \right)}\right) \tan^{\sin{\left(6 x \right)}}{\left(3 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
sin(6*x) || \1 + tan (3*x)/*sin(6*x)| / 2 \ \1 + tan (3*x)/ *sin(6*x) 4*\1 + tan (3*x)/*cos(6*x)|
9*tan (3*x)*||2*cos(6*x)*log(tan(3*x)) + ------------------------| - 4*log(tan(3*x))*sin(6*x) + 2*\1 + tan (3*x)/*sin(6*x) - ------------------------- + --------------------------|
|\ tan(3*x) / 2 tan(3*x) |
\ tan (3*x) /
$$9 \left(\left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 2 \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(6 x \right)}\right)^{2} - \frac{\left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \sin{\left(6 x \right)}}{\tan^{2}{\left(3 x \right)}} + 2 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)} + \frac{4 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cos{\left(6 x \right)}}{\tan{\left(3 x \right)}} - 4 \log{\left(\tan{\left(3 x \right)} \right)} \sin{\left(6 x \right)}\right) \tan^{\sin{\left(6 x \right)}}{\left(3 x \right)}$$
3-я производная
[src]
/ 3 / 2 \ 2 2 3 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
sin(6*x) || \1 + tan (3*x)/*sin(6*x)| | \1 + tan (3*x)/*sin(6*x)| | / 2 \ \1 + tan (3*x)/ *sin(6*x) 4*\1 + tan (3*x)/*cos(6*x)| / 2 \ 12*\1 + tan (3*x)/*sin(6*x) 6*\1 + tan (3*x)/ *cos(6*x) 4*\1 + tan (3*x)/ *sin(6*x) 2*\1 + tan (3*x)/ *sin(6*x) / 2 \ |
27*tan (3*x)*||2*cos(6*x)*log(tan(3*x)) + ------------------------| - 8*cos(6*x)*log(tan(3*x)) - 3*|2*cos(6*x)*log(tan(3*x)) + ------------------------|*|- 2*\1 + tan (3*x)/*sin(6*x) + 4*log(tan(3*x))*sin(6*x) + ------------------------- - --------------------------| + 12*\1 + tan (3*x)/*cos(6*x) - --------------------------- - --------------------------- - --------------------------- + --------------------------- + 4*\1 + tan (3*x)/*sin(6*x)*tan(3*x)|
|\ tan(3*x) / \ tan(3*x) / | 2 tan(3*x) | tan(3*x) 2 tan(3*x) 3 |
\ \ tan (3*x) / tan (3*x) tan (3*x) /
$$27 \left(\left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 2 \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(6 x \right)}\right)^{3} - 3 \left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 2 \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(6 x \right)}\right) \left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \sin{\left(6 x \right)}}{\tan^{2}{\left(3 x \right)}} - 2 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)} - \frac{4 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cos{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 4 \log{\left(\tan{\left(3 x \right)} \right)} \sin{\left(6 x \right)}\right) + \frac{2 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{3} \sin{\left(6 x \right)}}{\tan^{3}{\left(3 x \right)}} - \frac{4 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} - \frac{6 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \cos{\left(6 x \right)}}{\tan^{2}{\left(3 x \right)}} + 4 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)} \tan{\left(3 x \right)} - \frac{12 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 12 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cos{\left(6 x \right)} - 8 \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(6 x \right)}\right) \tan^{\sin{\left(6 x \right)}}{\left(3 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
sin(6*x) || \1 + tan (3*x)/*sin(6*x)| | \1 + tan (3*x)/*sin(6*x)| | / 2 \ \1 + tan (3*x)/ *sin(6*x) 4*\1 + tan (3*x)/*cos(6*x)| / 2 \ 12*\1 + tan (3*x)/*sin(6*x) 6*\1 + tan (3*x)/ *cos(6*x) 4*\1 + tan (3*x)/ *sin(6*x) 2*\1 + tan (3*x)/ *sin(6*x) / 2 \ |
27*tan (3*x)*||2*cos(6*x)*log(tan(3*x)) + ------------------------| - 8*cos(6*x)*log(tan(3*x)) - 3*|2*cos(6*x)*log(tan(3*x)) + ------------------------|*|- 2*\1 + tan (3*x)/*sin(6*x) + 4*log(tan(3*x))*sin(6*x) + ------------------------- - --------------------------| + 12*\1 + tan (3*x)/*cos(6*x) - --------------------------- - --------------------------- - --------------------------- + --------------------------- + 4*\1 + tan (3*x)/*sin(6*x)*tan(3*x)|
|\ tan(3*x) / \ tan(3*x) / | 2 tan(3*x) | tan(3*x) 2 tan(3*x) 3 |
\ \ tan (3*x) / tan (3*x) tan (3*x) /
$$27 \left(\left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 2 \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(6 x \right)}\right)^{3} - 3 \left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 2 \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(6 x \right)}\right) \left(\frac{\left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \sin{\left(6 x \right)}}{\tan^{2}{\left(3 x \right)}} - 2 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)} - \frac{4 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cos{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 4 \log{\left(\tan{\left(3 x \right)} \right)} \sin{\left(6 x \right)}\right) + \frac{2 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{3} \sin{\left(6 x \right)}}{\tan^{3}{\left(3 x \right)}} - \frac{4 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} - \frac{6 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \cos{\left(6 x \right)}}{\tan^{2}{\left(3 x \right)}} + 4 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)} \tan{\left(3 x \right)} - \frac{12 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(3 x \right)}} + 12 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cos{\left(6 x \right)} - 8 \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(6 x \right)}\right) \tan^{\sin{\left(6 x \right)}}{\left(3 x \right)}$$
Gráfico