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^(3*x)
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Derivada de -2x
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Derivada de x^3*sin(x)
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Derivada de (sqrt(x)-1)/sqrt(x^2-x-1)
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Expresiones idénticas
- y=(tgx)^(cosx+x)
- y es igual a (tgx) en el grado ( coseno de x más x)
- y=(tgx)(cosx+x)
- y=tgxcosx+x
- y=tgx^cosx+x
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Expresiones semejantes
- y=(tgx)^(cosx-x)
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Expresiones con funciones
- tgx
- tgx/(sinx-cosx)
- tgx-2cosx
- tgx/x
- tgx-9x
- tgx-ctgx
- cosx
- cosx^1/2
- cosx^(sinx)
- cosx/√(x^2-1)
- cosx+3ctgx
- cosx-sinx
Derivada de y=(tgx)^(cosx+x)
Solución
Ha introducido
[src]
cos(x) + x tan (x)
$$\tan^{x + \cos{\left(x \right)}}{\left(x \right)}$$
tan(x)^(cos(x) + x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
[src]
/ / 2 \ \
cos(x) + x | \1 + tan (x)/*(cos(x) + x)|
tan (x)*|(1 - sin(x))*log(tan(x)) + --------------------------|
\ tan(x) /
$$\left(\left(1 - \sin{\left(x \right)}\right) \log{\left(\tan{\left(x \right)} \right)} + \frac{\left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}}\right) \tan^{x + \cos{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
x + cos(x) || \1 + tan (x)/*(x + cos(x))| / 2 \ \1 + tan (x)/ *(x + cos(x)) 2*\1 + tan (x)/*(-1 + sin(x))|
tan (x)*||-(-1 + sin(x))*log(tan(x)) + --------------------------| - cos(x)*log(tan(x)) + 2*\1 + tan (x)/*(x + cos(x)) - --------------------------- - -----------------------------|
|\ tan(x) / 2 tan(x) |
\ tan (x) /
$$\left(- \frac{\left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} + 2 \left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) + \left(\frac{\left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} - \left(\sin{\left(x \right)} - 1\right) \log{\left(\tan{\left(x \right)} \right)}\right)^{2} - \frac{2 \left(\sin{\left(x \right)} - 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} - \log{\left(\tan{\left(x \right)} \right)} \cos{\left(x \right)}\right) \tan^{x + \cos{\left(x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 2 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
x + cos(x) || \1 + tan (x)/*(x + cos(x))| / 2 \ | \1 + tan (x)/*(x + cos(x))| | / 2 \ \1 + tan (x)/ *(x + cos(x)) 2*\1 + tan (x)/*(-1 + sin(x))| 4*\1 + tan (x)/ *(x + cos(x)) 3*\1 + tan (x)/*cos(x) 2*\1 + tan (x)/ *(x + cos(x)) 3*\1 + tan (x)/ *(-1 + sin(x)) / 2 \ |
tan (x)*||-(-1 + sin(x))*log(tan(x)) + --------------------------| + log(tan(x))*sin(x) - 6*\1 + tan (x)/*(-1 + sin(x)) - 3*|-(-1 + sin(x))*log(tan(x)) + --------------------------|*|cos(x)*log(tan(x)) - 2*\1 + tan (x)/*(x + cos(x)) + --------------------------- + -----------------------------| - ----------------------------- - ---------------------- + ----------------------------- + ------------------------------ + 4*\1 + tan (x)/*(x + cos(x))*tan(x)|
|\ tan(x) / \ tan(x) / | 2 tan(x) | tan(x) tan(x) 3 2 |
\ \ tan (x) / tan (x) tan (x) /
$$\left(\frac{2 \left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{3}}{\tan^{3}{\left(x \right)}} - \frac{4 \left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan{\left(x \right)}} + 4 \left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \left(\frac{\left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} - \left(\sin{\left(x \right)} - 1\right) \log{\left(\tan{\left(x \right)} \right)}\right)^{3} - 3 \left(\frac{\left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} - \left(\sin{\left(x \right)} - 1\right) \log{\left(\tan{\left(x \right)} \right)}\right) \left(\frac{\left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} - 2 \left(x + \cos{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) + \frac{2 \left(\sin{\left(x \right)} - 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)} \cos{\left(x \right)}\right) + \frac{3 \left(\sin{\left(x \right)} - 1\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} - 6 \left(\sin{\left(x \right)} - 1\right) \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \cos{\left(x \right)}}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)} \sin{\left(x \right)}\right) \tan^{x + \cos{\left(x \right)}}{\left(x \right)}$$
Gráfico