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 9/2x
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Derivada de 8*y^3-64
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Derivada de (7x+5)'
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Derivada de (-9)/x^7-15*x^4+28/x^3+35*x^4-7
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Expresiones idénticas
- y=(tg3x)^sinx
- y es igual a (tg3x) en el grado seno de x
- y=(tg3x)sinx
- y=tg3xsinx
- y=tg3x^sinx
Derivada de y=(tg3x)^sinx
Solución
Ha introducido
[src]
sin(x) tan (3*x)
$$\tan^{\sin{\left(x \right)}}{\left(3 x \right)}$$
tan(3*x)^sin(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(x) | \3 + 3*tan (3*x)/*sin(x)|
tan (3*x)*|cos(x)*log(tan(3*x)) + ------------------------|
\ tan(3*x) /
$$\left(\frac{\left(3 \tan^{2}{\left(3 x \right)} + 3\right) \sin{\left(x \right)}}{\tan{\left(3 x \right)}} + \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(x \right)}\right) \tan^{\sin{\left(x \right)}}{\left(3 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
sin(x) || 3*\1 + tan (3*x)/*sin(x)| / 2 \ 9*\1 + tan (3*x)/ *sin(x) 6*\1 + tan (3*x)/*cos(x)|
tan (3*x)*||cos(x)*log(tan(3*x)) + ------------------------| - log(tan(3*x))*sin(x) + 18*\1 + tan (3*x)/*sin(x) - ------------------------- + ------------------------|
|\ tan(3*x) / 2 tan(3*x) |
\ tan (3*x) /
$$\left(\left(\frac{3 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(x \right)}}{\tan{\left(3 x \right)}} + \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(x \right)}\right)^{2} - \frac{9 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \sin{\left(x \right)}}{\tan^{2}{\left(3 x \right)}} + 18 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cos{\left(x \right)}}{\tan{\left(3 x \right)}} - \log{\left(\tan{\left(3 x \right)} \right)} \sin{\left(x \right)}\right) \tan^{\sin{\left(x \right)}}{\left(3 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
sin(x) || 3*\1 + tan (3*x)/*sin(x)| | 3*\1 + tan (3*x)/*sin(x)| | / 2 \ 6*\1 + tan (3*x)/*cos(x) 9*\1 + tan (3*x)/ *sin(x)| / 2 \ 108*\1 + tan (3*x)/ *sin(x) 27*\1 + tan (3*x)/ *cos(x) 9*\1 + tan (3*x)/*sin(x) 54*\1 + tan (3*x)/ *sin(x) / 2 \ |
tan (3*x)*||cos(x)*log(tan(3*x)) + ------------------------| - cos(x)*log(tan(3*x)) - 3*|cos(x)*log(tan(3*x)) + ------------------------|*|log(tan(3*x))*sin(x) - 18*\1 + tan (3*x)/*sin(x) - ------------------------ + -------------------------| + 54*\1 + tan (3*x)/*cos(x) - --------------------------- - -------------------------- - ------------------------ + -------------------------- + 108*\1 + tan (3*x)/*sin(x)*tan(3*x)|
|\ tan(3*x) / \ tan(3*x) / | tan(3*x) 2 | tan(3*x) 2 tan(3*x) 3 |
\ \ tan (3*x) / tan (3*x) tan (3*x) /
$$\left(\left(\frac{3 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(x \right)}}{\tan{\left(3 x \right)}} + \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(x \right)}\right)^{3} - 3 \left(\frac{3 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(x \right)}}{\tan{\left(3 x \right)}} + \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(x \right)}\right) \left(\frac{9 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \sin{\left(x \right)}}{\tan^{2}{\left(3 x \right)}} - 18 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(x \right)} - \frac{6 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cos{\left(x \right)}}{\tan{\left(3 x \right)}} + \log{\left(\tan{\left(3 x \right)} \right)} \sin{\left(x \right)}\right) + \frac{54 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{3} \sin{\left(x \right)}}{\tan^{3}{\left(3 x \right)}} - \frac{108 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \sin{\left(x \right)}}{\tan{\left(3 x \right)}} - \frac{27 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} \cos{\left(x \right)}}{\tan^{2}{\left(3 x \right)}} + 108 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(x \right)} \tan{\left(3 x \right)} - \frac{9 \left(\tan^{2}{\left(3 x \right)} + 1\right) \sin{\left(x \right)}}{\tan{\left(3 x \right)}} + 54 \left(\tan^{2}{\left(3 x \right)} + 1\right) \cos{\left(x \right)} - \log{\left(\tan{\left(3 x \right)} \right)} \cos{\left(x \right)}\right) \tan^{\sin{\left(x \right)}}{\left(3 x \right)}$$
Gráfico