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/t
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Derivada de f(x)=√x
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Expresiones idénticas
- y=(tgx)^ex
- y es igual a (tgx) en el grado ex
- y=(tgx)ex
- y=tgxex
- y=tgx^ex
Derivada de y=(tgx)^ex
Solución
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]
/ x\ / / 2 \ x\
\E / | x \1 + tan (x)/*e |
(tan(x)) *|e *log(tan(x)) + ----------------|
\ tan(x) /
$$\left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right) e^{x}}{\tan{\left(x \right)}} + e^{x} \log{\left(\tan{\left(x \right)} \right)}\right) \tan^{e^{x}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
/ x\ | / 2 \ / 2 \ / 2 \ |
\e / | 2 |1 + tan (x) | x \1 + tan (x)/ 2*\1 + tan (x)/ | x
(tan(x)) *|2 + 2*tan (x) + |----------- + log(tan(x))| *e - -------------- + --------------- + log(tan(x))|*e
| \ tan(x) / 2 tan(x) |
\ tan (x) /
$$\left(\left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)}\right)^{2} e^{x} - \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)} + 2 \tan^{2}{\left(x \right)} + 2\right) e^{x} \tan^{e^{x}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 2 3 / 2 \ \
/ x\ | / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ | / 2 \ / 2 \ | |
\e / | 2 |1 + tan (x) | 2*x 4*\1 + tan (x)/ 3*\1 + tan (x)/ 2*\1 + tan (x)/ 3*\1 + tan (x)/ / 2 \ |1 + tan (x) | | 2 \1 + tan (x)/ 2*\1 + tan (x)/ | x | x
(tan(x)) *|6 + 6*tan (x) + |----------- + log(tan(x))| *e - ---------------- - ---------------- + ---------------- + --------------- + 4*\1 + tan (x)/*tan(x) + 3*|----------- + log(tan(x))|*|2 + 2*tan (x) - -------------- + --------------- + log(tan(x))|*e + log(tan(x))|*e
| \ tan(x) / tan(x) 2 3 tan(x) \ tan(x) / | 2 tan(x) | |
\ tan (x) tan (x) \ tan (x) / /
$$\left(\left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)}\right)^{3} e^{2 x} + 3 \left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)}\right) \left(- \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)} + 2 \tan^{2}{\left(x \right)} + 2\right) e^{x} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)^{3}}{\tan^{3}{\left(x \right)}} - \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan{\left(x \right)}} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \log{\left(\tan{\left(x \right)} \right)} + 6 \tan^{2}{\left(x \right)} + 6\right) e^{x} \tan^{e^{x}}{\left(x \right)}$$