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 1/(x+3)
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Derivada de 4*y
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Derivada de (-1)/x-3*x
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Derivada de y=csc(3x²+1)
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Expresiones idénticas
- y=(tg2x)^(cos2x)
- y es igual a (tg2x) en el grado ( coseno de 2x)
- y=(tg2x)(cos2x)
- y=tg2xcos2x
- y=tg2x^cos2x
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Expresiones con funciones
- Coseno cos
- cos(log(x))+x^2*tan(x)
- cos(-6x+7)
- cos(3*x)/3
- cos(2*x+pi/3)
- cos(2-3*x)
Derivada de y=(tg2x)^(cos2x)
Solución
Ha introducido
[src]
cos(2*x) tan (2*x)
$$\tan^{\cos{\left(2 x \right)}}{\left(2 x \right)}$$
tan(2*x)^cos(2*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(2*x) | \2 + 2*tan (2*x)/*cos(2*x)|
tan (2*x)*|-2*log(tan(2*x))*sin(2*x) + --------------------------|
\ tan(2*x) /
$$\left(\frac{\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \cos{\left(2 x \right)}}{\tan{\left(2 x \right)}} - 2 \log{\left(\tan{\left(2 x \right)} \right)} \sin{\left(2 x \right)}\right) \tan^{\cos{\left(2 x \right)}}{\left(2 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
cos(2*x) || \1 + tan (2*x)/*cos(2*x)| / 2 \ \1 + tan (2*x)/ *cos(2*x) 2*\1 + tan (2*x)/*sin(2*x)|
4*tan (2*x)*||-log(tan(2*x))*sin(2*x) + ------------------------| - cos(2*x)*log(tan(2*x)) + 2*\1 + tan (2*x)/*cos(2*x) - ------------------------- - --------------------------|
|\ tan(2*x) / 2 tan(2*x) |
\ tan (2*x) /
$$4 \left(\left(\frac{\left(\tan^{2}{\left(2 x \right)} + 1\right) \cos{\left(2 x \right)}}{\tan{\left(2 x \right)}} - \log{\left(\tan{\left(2 x \right)} \right)} \sin{\left(2 x \right)}\right)^{2} - \frac{\left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \cos{\left(2 x \right)}}{\tan^{2}{\left(2 x \right)}} - \frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \sin{\left(2 x \right)}}{\tan{\left(2 x \right)}} + 2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \cos{\left(2 x \right)} - \log{\left(\tan{\left(2 x \right)} \right)} \cos{\left(2 x \right)}\right) \tan^{\cos{\left(2 x \right)}}{\left(2 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 2 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
cos(2*x) || \1 + tan (2*x)/*cos(2*x)| / 2 \ | \1 + tan (2*x)/*cos(2*x)| | / 2 \ \1 + tan (2*x)/ *cos(2*x) 2*\1 + tan (2*x)/*sin(2*x)| 4*\1 + tan (2*x)/ *cos(2*x) 3*\1 + tan (2*x)/*cos(2*x) 2*\1 + tan (2*x)/ *cos(2*x) 3*\1 + tan (2*x)/ *sin(2*x) / 2 \ |
8*tan (2*x)*||-log(tan(2*x))*sin(2*x) + ------------------------| + log(tan(2*x))*sin(2*x) - 6*\1 + tan (2*x)/*sin(2*x) - 3*|-log(tan(2*x))*sin(2*x) + ------------------------|*|cos(2*x)*log(tan(2*x)) - 2*\1 + tan (2*x)/*cos(2*x) + ------------------------- + --------------------------| - --------------------------- - -------------------------- + --------------------------- + --------------------------- + 4*\1 + tan (2*x)/*cos(2*x)*tan(2*x)|
|\ tan(2*x) / \ tan(2*x) / | 2 tan(2*x) | tan(2*x) tan(2*x) 3 2 |
\ \ tan (2*x) / tan (2*x) tan (2*x) /
$$8 \left(\left(\frac{\left(\tan^{2}{\left(2 x \right)} + 1\right) \cos{\left(2 x \right)}}{\tan{\left(2 x \right)}} - \log{\left(\tan{\left(2 x \right)} \right)} \sin{\left(2 x \right)}\right)^{3} - 3 \left(\frac{\left(\tan^{2}{\left(2 x \right)} + 1\right) \cos{\left(2 x \right)}}{\tan{\left(2 x \right)}} - \log{\left(\tan{\left(2 x \right)} \right)} \sin{\left(2 x \right)}\right) \left(\frac{\left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \cos{\left(2 x \right)}}{\tan^{2}{\left(2 x \right)}} + \frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \sin{\left(2 x \right)}}{\tan{\left(2 x \right)}} - 2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \cos{\left(2 x \right)} + \log{\left(\tan{\left(2 x \right)} \right)} \cos{\left(2 x \right)}\right) + \frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{3} \cos{\left(2 x \right)}}{\tan^{3}{\left(2 x \right)}} + \frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \sin{\left(2 x \right)}}{\tan^{2}{\left(2 x \right)}} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \cos{\left(2 x \right)}}{\tan{\left(2 x \right)}} - 6 \left(\tan^{2}{\left(2 x \right)} + 1\right) \sin{\left(2 x \right)} + 4 \left(\tan^{2}{\left(2 x \right)} + 1\right) \cos{\left(2 x \right)} \tan{\left(2 x \right)} - \frac{3 \left(\tan^{2}{\left(2 x \right)} + 1\right) \cos{\left(2 x \right)}}{\tan{\left(2 x \right)}} + \log{\left(\tan{\left(2 x \right)} \right)} \sin{\left(2 x \right)}\right) \tan^{\cos{\left(2 x \right)}}{\left(2 x \right)}$$
Gráfico