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*e^(-x^2)
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Derivada de 1/(x+1)^2
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Derivada de x^(4/5)
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Derivada de x*e^(1/x)
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Expresiones idénticas
- x^(e^tgx)
- x en el grado (e en el grado tgx)
- x(etgx)
- xetgx
- x^e^tgx
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Expresiones con funciones
- tgx
- tgx-ctgx
Derivada de x^(e^tgx)
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]
/ tan(x)\ / tan(x) \
\E / |e / 2 \ tan(x) |
x *|------- + \1 + tan (x)/*e *log(x)|
\ x /
$$x^{e^{\tan{\left(x \right)}}} \left(\left(\tan^{2}{\left(x \right)} + 1\right) e^{\tan{\left(x \right)}} \log{\left(x \right)} + \frac{e^{\tan{\left(x \right)}}}{x}\right)$$
Segunda derivada
[src]
/ tan(x)\ / 2 2 / 2 \ \
\e / | 1 / 2 \ /1 / 2 \ \ tan(x) 2*\1 + tan (x)/ / 2 \ | tan(x)
x *|- -- + \1 + tan (x)/ *log(x) + |- + \1 + tan (x)/*log(x)| *e + --------------- + 2*\1 + tan (x)/*log(x)*tan(x)|*e
| 2 \x / x |
\ x /
$$x^{e^{\tan{\left(x \right)}}} \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{1}{x}\right)^{2} e^{\tan{\left(x \right)}} + \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{1}{x^{2}}\right) e^{\tan{\left(x \right)}}$$
Tercera derivada
[src]
/ 2 \
/ tan(x)\ | 3 3 / 2 \ 2 / 2 \ / 2 / 2 \ \ / 2 \ 2 |
\e / |2 / 2 \ /1 / 2 \ \ 2*tan(x) 3*\1 + tan (x)/ / 2 \ 3*\1 + tan (x)/ /1 / 2 \ \ | 1 / 2 \ 2*\1 + tan (x)/ / 2 \ | tan(x) 2 / 2 \ 6*\1 + tan (x)/*tan(x) / 2 \ | tan(x)
x *|-- + \1 + tan (x)/ *log(x) + |- + \1 + tan (x)/*log(x)| *e - --------------- + 2*\1 + tan (x)/ *log(x) + ---------------- + 3*|- + \1 + tan (x)/*log(x)|*|- -- + \1 + tan (x)/ *log(x) + --------------- + 2*\1 + tan (x)/*log(x)*tan(x)|*e + 4*tan (x)*\1 + tan (x)/*log(x) + ---------------------- + 6*\1 + tan (x)/ *log(x)*tan(x)|*e
| 3 \x / 2 x \x / | 2 x | x |
\x x \ x / /
$$x^{e^{\tan{\left(x \right)}}} \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{1}{x}\right)^{3} e^{2 \tan{\left(x \right)}} + 3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{1}{x}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{1}{x^{2}}\right) e^{\tan{\left(x \right)}} + \left(\tan^{2}{\left(x \right)} + 1\right)^{3} \log{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} \tan{\left(x \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{x} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2}} + \frac{2}{x^{3}}\right) e^{\tan{\left(x \right)}}$$