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^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de (-2)/x^3
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Expresiones idénticas
- (x*tg(4x))^(cinco *(e)^x)
- (x multiplicar por tg(4x)) en el grado (5 multiplicar por (e) en el grado x)
- (x multiplicar por tg(4x)) en el grado (cinco multiplicar por (e) en el grado x)
- (x*tg(4x))(5*(e)x)
- x*tg4x5*ex
- (xtg(4x))^(5(e)^x)
- (xtg(4x))(5(e)x)
- xtg4x5ex
- xtg4x^5e^x
Derivada de (x*tg(4x))^(5*(e)^x)
Solución
Ha introducido
[src]
x
5*E
(x*tan(4*x))
$$\left(x \tan{\left(4 x \right)}\right)^{5 e^{x}}$$
(x*tan(4*x))^(5*E^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]
x / / / 2 \ \ x\
5*e | x 5*\x*\4 + 4*tan (4*x)/ + tan(4*x)/*e |
(x*tan(4*x)) *|5*e *log(x*tan(4*x)) + -------------------------------------|
\ x*tan(4*x) /
$$\left(x \tan{\left(4 x \right)}\right)^{5 e^{x}} \left(5 e^{x} \log{\left(x \tan{\left(4 x \right)} \right)} + \frac{5 \left(x \left(4 \tan^{2}{\left(4 x \right)} + 4\right) + \tan{\left(4 x \right)}\right) e^{x}}{x \tan{\left(4 x \right)}}\right)$$
Segunda derivada
[src]
/ 2 \
x | / / 2 \ \ / 2 \ / / 2 \ \ / 2 / 2 \ \ / 2 \ / / 2 \ \ |
5*e | |4*x*\1 + tan (4*x)/ + tan(4*x) | x 4*x*\1 + tan (4*x)/ + tan(4*x) 2*\4*x*\1 + tan (4*x)/ + tan(4*x)/ 8*\1 + tan (4*x) + 4*x*\1 + tan (4*x)/*tan(4*x)/ 4*\1 + tan (4*x)/*\4*x*\1 + tan (4*x)/ + tan(4*x)/ | x
5*(x*tan(4*x)) *|5*|------------------------------ + log(x*tan(4*x))| *e - ------------------------------ + ---------------------------------- + ------------------------------------------------ - -------------------------------------------------- + log(x*tan(4*x))|*e
| \ x*tan(4*x) / 2 x*tan(4*x) x*tan(4*x) 2 |
\ x *tan(4*x) x*tan (4*x) /
$$5 \left(x \tan{\left(4 x \right)}\right)^{5 e^{x}} \left(5 \left(\log{\left(x \tan{\left(4 x \right)} \right)} + \frac{4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}}{x \tan{\left(4 x \right)}}\right)^{2} e^{x} + \log{\left(x \tan{\left(4 x \right)} \right)} - \frac{4 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right) \left(\tan^{2}{\left(4 x \right)} + 1\right)}{x \tan^{2}{\left(4 x \right)}} + \frac{2 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right)}{x \tan{\left(4 x \right)}} + \frac{8 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) \tan{\left(4 x \right)} + \tan^{2}{\left(4 x \right)} + 1\right)}{x \tan{\left(4 x \right)}} - \frac{4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}}{x^{2} \tan{\left(4 x \right)}}\right) e^{x}$$
Tercera derivada
[src]
/ 3 2 \
x | / / 2 \ \ / 2 / 2 \ \ / / 2 \ \ / / 2 \ \ / / 2 \ \ / / 2 \ \ / / 2 \ / / 2 \ \ / 2 / 2 \ \ / 2 \ / / 2 \ \ \ / 2 / 2 \ \ / 2 \ / 2 / 2 \ \ / 2 \ / / 2 \ \ / 2 \ / / 2 \ \ / 2 \ / / 2 \ \ / 2 \ / / 2 \ \ / 2 \ / / 2 \ 2 \ |
5*e | |4*x*\1 + tan (4*x)/ + tan(4*x) | 2*x 16*\1 + tan (4*x) + 4*x*\1 + tan (4*x)/*tan(4*x)/ 3*\4*x*\1 + tan (4*x)/ + tan(4*x)/ 2*\4*x*\1 + tan (4*x)/ + tan(4*x)/ 3*\4*x*\1 + tan (4*x)/ + tan(4*x)/ |4*x*\1 + tan (4*x)/ + tan(4*x) | | 4*x*\1 + tan (4*x)/ + tan(4*x) 2*\4*x*\1 + tan (4*x)/ + tan(4*x)/ 8*\1 + tan (4*x) + 4*x*\1 + tan (4*x)/*tan(4*x)/ 4*\1 + tan (4*x)/*\4*x*\1 + tan (4*x)/ + tan(4*x)/ | x 24*\1 + tan (4*x) + 4*x*\1 + tan (4*x)/*tan(4*x)/ 64*\1 + tan (4*x)/*\1 + tan (4*x) + 4*x*\1 + tan (4*x)/*tan(4*x)/ 32*\1 + tan (4*x)/*\4*x*\1 + tan (4*x)/ + tan(4*x)/ 12*\1 + tan (4*x)/*\4*x*\1 + tan (4*x)/ + tan(4*x)/ 8*\1 + tan (4*x)/*\4*x*\1 + tan (4*x)/ + tan(4*x)/ 32*\1 + tan (4*x)/ *\4*x*\1 + tan (4*x)/ + tan(4*x)/ 32*\1 + tan (4*x)/*\3*tan(4*x) + 4*x*\1 + tan (4*x)/ + 8*x*tan (4*x)/ | x
5*(x*tan(4*x)) *|25*|------------------------------ + log(x*tan(4*x))| *e - ------------------------------------------------- - ---------------------------------- + ---------------------------------- + ---------------------------------- + 15*|------------------------------ + log(x*tan(4*x))|*|- ------------------------------ + ---------------------------------- + ------------------------------------------------ - -------------------------------------------------- + log(x*tan(4*x))|*e + ------------------------------------------------- - ----------------------------------------------------------------- - --------------------------------------------------- - --------------------------------------------------- + -------------------------------------------------- + ---------------------------------------------------- + --------------------------------------------------------------------- + log(x*tan(4*x))|*e
| \ x*tan(4*x) / 2 2 3 x*tan(4*x) \ x*tan(4*x) / | 2 x*tan(4*x) x*tan(4*x) 2 | x*tan(4*x) 2 x*tan(4*x) 2 2 2 3 x*tan(4*x) |
\ x *tan(4*x) x *tan(4*x) x *tan(4*x) \ x *tan(4*x) x*tan (4*x) / x*tan (4*x) x*tan (4*x) x *tan (4*x) x*tan (4*x) /
$$5 \left(x \tan{\left(4 x \right)}\right)^{5 e^{x}} \left(25 \left(\log{\left(x \tan{\left(4 x \right)} \right)} + \frac{4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}}{x \tan{\left(4 x \right)}}\right)^{3} e^{2 x} + 15 \left(\log{\left(x \tan{\left(4 x \right)} \right)} + \frac{4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}}{x \tan{\left(4 x \right)}}\right) \left(\log{\left(x \tan{\left(4 x \right)} \right)} - \frac{4 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right) \left(\tan^{2}{\left(4 x \right)} + 1\right)}{x \tan^{2}{\left(4 x \right)}} + \frac{2 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right)}{x \tan{\left(4 x \right)}} + \frac{8 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) \tan{\left(4 x \right)} + \tan^{2}{\left(4 x \right)} + 1\right)}{x \tan{\left(4 x \right)}} - \frac{4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}}{x^{2} \tan{\left(4 x \right)}}\right) e^{x} + \log{\left(x \tan{\left(4 x \right)} \right)} + \frac{32 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right) \left(\tan^{2}{\left(4 x \right)} + 1\right)^{2}}{x \tan^{3}{\left(4 x \right)}} - \frac{32 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right) \left(\tan^{2}{\left(4 x \right)} + 1\right)}{x \tan{\left(4 x \right)}} - \frac{12 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right) \left(\tan^{2}{\left(4 x \right)} + 1\right)}{x \tan^{2}{\left(4 x \right)}} + \frac{3 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right)}{x \tan{\left(4 x \right)}} + \frac{32 \left(\tan^{2}{\left(4 x \right)} + 1\right) \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + 8 x \tan^{2}{\left(4 x \right)} + 3 \tan{\left(4 x \right)}\right)}{x \tan{\left(4 x \right)}} - \frac{64 \left(\tan^{2}{\left(4 x \right)} + 1\right) \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) \tan{\left(4 x \right)} + \tan^{2}{\left(4 x \right)} + 1\right)}{x \tan^{2}{\left(4 x \right)}} + \frac{24 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) \tan{\left(4 x \right)} + \tan^{2}{\left(4 x \right)} + 1\right)}{x \tan{\left(4 x \right)}} + \frac{8 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right) \left(\tan^{2}{\left(4 x \right)} + 1\right)}{x^{2} \tan^{2}{\left(4 x \right)}} - \frac{3 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right)}{x^{2} \tan{\left(4 x \right)}} - \frac{16 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) \tan{\left(4 x \right)} + \tan^{2}{\left(4 x \right)} + 1\right)}{x^{2} \tan{\left(4 x \right)}} + \frac{2 \left(4 x \left(\tan^{2}{\left(4 x \right)} + 1\right) + \tan{\left(4 x \right)}\right)}{x^{3} \tan{\left(4 x \right)}}\right) e^{x}$$