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^-0,2
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Derivada de e-x
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Derivada de e^e
- Derivada de e^((3*x)^2)
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Expresiones idénticas
- y=tan(cos(x))^x
- y es igual a tangente de ( coseno de (x)) en el grado x
- y=tan(cos(x))x
- y=tancosxx
- y=tancosx^x
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Expresiones semejantes
- y=tan(cosx)^x
Derivada de y=tan(cos(x))^x
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
x | x*\1 + tan (cos(x))/*sin(x) |
tan (cos(x))*|- --------------------------- + log(tan(cos(x)))|
\ tan(cos(x)) /
$$\left(- \frac{x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}} + \log{\left(\tan{\left(\cos{\left(x \right)} \right)} \right)}\right) \tan^{x}{\left(\cos{\left(x \right)} \right)}$$
Segunda derivada
[src]
/ 2 \
|/ / 2 \ \ / 2 / 2 \\|
x || x*\1 + tan (cos(x))/*sin(x)| / 2 \ | 2 2*sin(x) x*cos(x) x*sin (x)*\1 + tan (cos(x))/||
tan (cos(x))*||-log(tan(cos(x))) + ---------------------------| - \1 + tan (cos(x))/*|- 2*x*sin (x) + ----------- + ----------- + ----------------------------||
|\ tan(cos(x)) / | tan(cos(x)) tan(cos(x)) 2 ||
\ \ tan (cos(x)) //
$$\left(\left(\frac{x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}} - \log{\left(\tan{\left(\cos{\left(x \right)} \right)} \right)}\right)^{2} - \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \left(\frac{x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin^{2}{\left(x \right)}}{\tan^{2}{\left(\cos{\left(x \right)} \right)}} - 2 x \sin^{2}{\left(x \right)} + \frac{x \cos{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}} + \frac{2 \sin{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}}\right)\right) \tan^{x}{\left(\cos{\left(x \right)} \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ \
| / / 2 \ \ | 2 / 2 \ 3 / 2 \ / 2 \ 3 / 2 \ | / / 2 \ \ / 2 / 2 \\|
x | | x*\1 + tan (cos(x))/*sin(x)| / 2 \ | 2 3*cos(x) x*sin(x) 3*sin (x)*\1 + tan (cos(x))/ 3 4*x*sin (x)*\1 + tan (cos(x))/ 2*x*\1 + tan (cos(x))/ *sin (x) 3*x*\1 + tan (cos(x))/*cos(x)*sin(x)| / 2 \ | x*\1 + tan (cos(x))/*sin(x)| | 2 2*sin(x) x*cos(x) x*sin (x)*\1 + tan (cos(x))/||
tan (cos(x))*|- |-log(tan(cos(x))) + ---------------------------| - \1 + tan (cos(x))/*|- 6*sin (x) + ----------- - ----------- - 6*x*cos(x)*sin(x) + ---------------------------- + 4*x*sin (x)*tan(cos(x)) - ------------------------------ + ------------------------------- + ------------------------------------| + 3*\1 + tan (cos(x))/*|-log(tan(cos(x))) + ---------------------------|*|- 2*x*sin (x) + ----------- + ----------- + ----------------------------||
| \ tan(cos(x)) / | tan(cos(x)) tan(cos(x)) 2 tan(cos(x)) 3 2 | \ tan(cos(x)) / | tan(cos(x)) tan(cos(x)) 2 ||
\ \ tan (cos(x)) tan (cos(x)) tan (cos(x)) / \ tan (cos(x)) //
$$\left(- \left(\frac{x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}} - \log{\left(\tan{\left(\cos{\left(x \right)} \right)} \right)}\right)^{3} + 3 \left(\frac{x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}} - \log{\left(\tan{\left(\cos{\left(x \right)} \right)} \right)}\right) \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \left(\frac{x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin^{2}{\left(x \right)}}{\tan^{2}{\left(\cos{\left(x \right)} \right)}} - 2 x \sin^{2}{\left(x \right)} + \frac{x \cos{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}} + \frac{2 \sin{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}}\right) - \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \left(\frac{2 x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right)^{2} \sin^{3}{\left(x \right)}}{\tan^{3}{\left(\cos{\left(x \right)} \right)}} - \frac{4 x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin^{3}{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}} + \frac{3 x \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin{\left(x \right)} \cos{\left(x \right)}}{\tan^{2}{\left(\cos{\left(x \right)} \right)}} + 4 x \sin^{3}{\left(x \right)} \tan{\left(\cos{\left(x \right)} \right)} - 6 x \sin{\left(x \right)} \cos{\left(x \right)} - \frac{x \sin{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}} + \frac{3 \left(\tan^{2}{\left(\cos{\left(x \right)} \right)} + 1\right) \sin^{2}{\left(x \right)}}{\tan^{2}{\left(\cos{\left(x \right)} \right)}} - 6 \sin^{2}{\left(x \right)} + \frac{3 \cos{\left(x \right)}}{\tan{\left(\cos{\left(x \right)} \right)}}\right)\right) \tan^{x}{\left(\cos{\left(x \right)} \right)}$$
Gráfico