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:
-
Derivada de e^x*sin(x)
- Derivada de x!
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Derivada de e^x*x^3
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Derivada de e^x/x^2
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Expresiones idénticas
- y=(tg9x)^cos6x
- y es igual a (tg9x) en el grado coseno de 6x
- y=(tg9x)cos6x
- y=tg9xcos6x
- y=tg9x^cos6x
Derivada de y=(tg9x)^cos6x
Solución
Ha introducido
[src]
cos(6*x) tan (9*x)
$$\tan^{\cos{\left(6 x \right)}}{\left(9 x \right)}$$
tan(9*x)^cos(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 \ \
cos(6*x) | \9 + 9*tan (9*x)/*cos(6*x)|
tan (9*x)*|-6*log(tan(9*x))*sin(6*x) + --------------------------|
\ tan(9*x) /
$$\left(\frac{\left(9 \tan^{2}{\left(9 x \right)} + 9\right) \cos{\left(6 x \right)}}{\tan{\left(9 x \right)}} - 6 \log{\left(\tan{\left(9 x \right)} \right)} \sin{\left(6 x \right)}\right) \tan^{\cos{\left(6 x \right)}}{\left(9 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
cos(6*x) || 3*\1 + tan (9*x)/*cos(6*x)| / 2 \ 12*\1 + tan (9*x)/*sin(6*x) 9*\1 + tan (9*x)/ *cos(6*x)|
9*tan (9*x)*||-2*log(tan(9*x))*sin(6*x) + --------------------------| - 4*cos(6*x)*log(tan(9*x)) + 18*\1 + tan (9*x)/*cos(6*x) - --------------------------- - ---------------------------|
|\ tan(9*x) / tan(9*x) 2 |
\ tan (9*x) /
$$9 \left(\left(\frac{3 \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(6 x \right)}}{\tan{\left(9 x \right)}} - 2 \log{\left(\tan{\left(9 x \right)} \right)} \sin{\left(6 x \right)}\right)^{2} - \frac{9 \left(\tan^{2}{\left(9 x \right)} + 1\right)^{2} \cos{\left(6 x \right)}}{\tan^{2}{\left(9 x \right)}} - \frac{12 \left(\tan^{2}{\left(9 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(9 x \right)}} + 18 \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(6 x \right)} - 4 \log{\left(\tan{\left(9 x \right)} \right)} \cos{\left(6 x \right)}\right) \tan^{\cos{\left(6 x \right)}}{\left(9 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
cos(6*x) || 3*\1 + tan (9*x)/*cos(6*x)| / 2 \ | 3*\1 + tan (9*x)/*cos(6*x)| | / 2 \ 9*\1 + tan (9*x)/ *cos(6*x) 12*\1 + tan (9*x)/*sin(6*x)| 108*\1 + tan (9*x)/ *cos(6*x) 36*\1 + tan (9*x)/*cos(6*x) 54*\1 + tan (9*x)/ *sin(6*x) 54*\1 + tan (9*x)/ *cos(6*x) / 2 \ |
27*tan (9*x)*||-2*log(tan(9*x))*sin(6*x) + --------------------------| - 108*\1 + tan (9*x)/*sin(6*x) - 3*|-2*log(tan(9*x))*sin(6*x) + --------------------------|*|- 18*\1 + tan (9*x)/*cos(6*x) + 4*cos(6*x)*log(tan(9*x)) + --------------------------- + ---------------------------| + 8*log(tan(9*x))*sin(6*x) - ----------------------------- - --------------------------- + ---------------------------- + ---------------------------- + 108*\1 + tan (9*x)/*cos(6*x)*tan(9*x)|
|\ tan(9*x) / \ tan(9*x) / | 2 tan(9*x) | tan(9*x) tan(9*x) 2 3 |
\ \ tan (9*x) / tan (9*x) tan (9*x) /
$$27 \left(\left(\frac{3 \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(6 x \right)}}{\tan{\left(9 x \right)}} - 2 \log{\left(\tan{\left(9 x \right)} \right)} \sin{\left(6 x \right)}\right)^{3} - 3 \left(\frac{3 \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(6 x \right)}}{\tan{\left(9 x \right)}} - 2 \log{\left(\tan{\left(9 x \right)} \right)} \sin{\left(6 x \right)}\right) \left(\frac{9 \left(\tan^{2}{\left(9 x \right)} + 1\right)^{2} \cos{\left(6 x \right)}}{\tan^{2}{\left(9 x \right)}} + \frac{12 \left(\tan^{2}{\left(9 x \right)} + 1\right) \sin{\left(6 x \right)}}{\tan{\left(9 x \right)}} - 18 \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(6 x \right)} + 4 \log{\left(\tan{\left(9 x \right)} \right)} \cos{\left(6 x \right)}\right) + \frac{54 \left(\tan^{2}{\left(9 x \right)} + 1\right)^{3} \cos{\left(6 x \right)}}{\tan^{3}{\left(9 x \right)}} + \frac{54 \left(\tan^{2}{\left(9 x \right)} + 1\right)^{2} \sin{\left(6 x \right)}}{\tan^{2}{\left(9 x \right)}} - \frac{108 \left(\tan^{2}{\left(9 x \right)} + 1\right)^{2} \cos{\left(6 x \right)}}{\tan{\left(9 x \right)}} - 108 \left(\tan^{2}{\left(9 x \right)} + 1\right) \sin{\left(6 x \right)} + 108 \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(6 x \right)} \tan{\left(9 x \right)} - \frac{36 \left(\tan^{2}{\left(9 x \right)} + 1\right) \cos{\left(6 x \right)}}{\tan{\left(9 x \right)}} + 8 \log{\left(\tan{\left(9 x \right)} \right)} \sin{\left(6 x \right)}\right) \tan^{\cos{\left(6 x \right)}}{\left(9 x \right)}$$
Gráfico