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
-
¿Cómo usar?
- Derivada de:
- Derivada de i*n*x
-
Derivada de y=6x
-
Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
-
Derivada de 2^-x
-
Expresiones idénticas
- (x^exp)^tg(x)
- (x en el grado exponente de ) en el grado tg(x)
- (xexp)tg(x)
- xexptgx
- x^exp^tgx
Derivada de (x^exp)^tg(x)
Solución
Ha introducido
[src]
tan(x) / / x\\ | \e /| \x /
$$\left(x^{e^{x}}\right)^{\tan{\left(x \right)}}$$
(x^exp(x))^tan(x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
tan(x)
/ / x\\ / / / x\\ / x \ \
| \e /| |/ 2 \ | \e /| |e x | |
\x / *|\1 + tan (x)/*log\x / + |-- + e *log(x)|*tan(x)|
\ \x / /
$$\left(\left(e^{x} \log{\left(x \right)} + \frac{e^{x}}{x}\right) \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{e^{x}} \right)}\right) \left(x^{e^{x}}\right)^{\tan{\left(x \right)}}$$
Segunda derivada
[src]
tan(x) / 2 \
/ / x\\ |/ / / x\\ \ / / x\\ |
| \e /| ||/ 2 \ | \e /| /1 \ x | / 1 2 \ x / 2 \ /1 \ x / 2 \ | \e /| |
\x / *||\1 + tan (x)/*log\x / + |- + log(x)|*e *tan(x)| + |- -- + - + log(x)|*e *tan(x) + 2*\1 + tan (x)/*|- + log(x)|*e + 2*\1 + tan (x)/*log\x /*tan(x)|
|\ \x / / | 2 x | \x / |
\ \ x / /
$$\left(\left(\left(\log{\left(x \right)} + \frac{1}{x}\right) e^{x} \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{e^{x}} \right)}\right)^{2} + 2 \left(\log{\left(x \right)} + \frac{1}{x}\right) \left(\tan^{2}{\left(x \right)} + 1\right) e^{x} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{e^{x}} \right)} \tan{\left(x \right)} + \left(\log{\left(x \right)} + \frac{2}{x} - \frac{1}{x^{2}}\right) e^{x} \tan{\left(x \right)}\right) \left(x^{e^{x}}\right)^{\tan{\left(x \right)}}$$
Tercera derivada
[src]
tan(x) / 3 \
/ / x\\ |/ / / x\\ \ 2 / / x\\ / / / x\\ \ / / / x\\ \ / / x\\ |
| \e /| ||/ 2 \ | \e /| /1 \ x | / 2 \ | \e /| |/ 2 \ | \e /| /1 \ x | |/ 1 2 \ x / 2 \ /1 \ x / 2 \ | \e /| | / 3 2 3 \ x / 2 \ / 1 2 \ x 2 / 2 \ | \e /| / 2 \ /1 \ x |
\x / *||\1 + tan (x)/*log\x / + |- + log(x)|*e *tan(x)| + 2*\1 + tan (x)/ *log\x / + 3*|\1 + tan (x)/*log\x / + |- + log(x)|*e *tan(x)|*||- -- + - + log(x)|*e *tan(x) + 2*\1 + tan (x)/*|- + log(x)|*e + 2*\1 + tan (x)/*log\x /*tan(x)| + |- -- + -- + - + log(x)|*e *tan(x) + 3*\1 + tan (x)/*|- -- + - + log(x)|*e + 4*tan (x)*\1 + tan (x)/*log\x / + 6*\1 + tan (x)/*|- + log(x)|*e *tan(x)|
|\ \x / / \ \x / / || 2 x | \x / | | 2 3 x | | 2 x | \x / |
\ \\ x / / \ x x / \ x / /
$$\left(\left(\left(\log{\left(x \right)} + \frac{1}{x}\right) e^{x} \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{e^{x}} \right)}\right)^{3} + 3 \left(\left(\log{\left(x \right)} + \frac{1}{x}\right) e^{x} \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{e^{x}} \right)}\right) \left(2 \left(\log{\left(x \right)} + \frac{1}{x}\right) \left(\tan^{2}{\left(x \right)} + 1\right) e^{x} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{e^{x}} \right)} \tan{\left(x \right)} + \left(\log{\left(x \right)} + \frac{2}{x} - \frac{1}{x^{2}}\right) e^{x} \tan{\left(x \right)}\right) + 6 \left(\log{\left(x \right)} + \frac{1}{x}\right) \left(\tan^{2}{\left(x \right)} + 1\right) e^{x} \tan{\left(x \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x^{e^{x}} \right)} + 3 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\log{\left(x \right)} + \frac{2}{x} - \frac{1}{x^{2}}\right) e^{x} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{e^{x}} \right)} \tan^{2}{\left(x \right)} + \left(\log{\left(x \right)} + \frac{3}{x} - \frac{3}{x^{2}} + \frac{2}{x^{3}}\right) e^{x} \tan{\left(x \right)}\right) \left(x^{e^{x}}\right)^{\tan{\left(x \right)}}$$