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/(x+3)
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Derivada de 4*y
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Derivada de (2x-7)^8
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Derivada de (-1)/x-3*x
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Expresiones idénticas
- x^tg^3x
- x en el grado tg al cubo x
- xtg3x
- x^tg³x
- x en el grado tg en el grado 3x
Derivada de x^tg^3x
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
3 / 3 \
tan (x) |tan (x) 2 / 2 \ |
x *|------- + tan (x)*\3 + 3*tan (x)/*log(x)|
\ x /
$$x^{\tan^{3}{\left(x \right)}} \left(\left(3 \tan^{2}{\left(x \right)} + 3\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} + \frac{\tan^{3}{\left(x \right)}}{x}\right)$$
Segunda derivada
[src]
3 / 2 2 2 / 2 \ \
tan (x) |/tan(x) / 2 \ \ 3 tan (x) / 2 \ 6*\1 + tan (x)/*tan(x) 2 / 2 \ |
x *||------ + 3*\1 + tan (x)/*log(x)| *tan (x) - ------- + 6*\1 + tan (x)/ *log(x) + ---------------------- + 6*tan (x)*\1 + tan (x)/*log(x)|*tan(x)
|\ x / 2 x |
\ x /
$$x^{\tan^{3}{\left(x \right)}} \left(\left(3 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{2} \tan^{3}{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{\tan^{2}{\left(x \right)}}{x^{2}}\right) \tan{\left(x \right)}$$
Tercera derivada
[src]
/ 2 \
3 | 3 3 3 2 / 2 \ / 2 2 / 2 \ \ / 2 \ 3 / 2 \ 2 |
tan (x) |/tan(x) / 2 \ \ 6 2*tan (x) / 2 \ 9*tan (x)*\1 + tan (x)/ 3 /tan(x) / 2 \ \ | tan (x) / 2 \ 6*\1 + tan (x)/*tan(x) 2 / 2 \ | 4 / 2 \ 18*\1 + tan (x)/ *tan(x) 18*tan (x)*\1 + tan (x)/ / 2 \ 2 |
x *||------ + 3*\1 + tan (x)/*log(x)| *tan (x) + --------- + 6*\1 + tan (x)/ *log(x) - ----------------------- + 3*tan (x)*|------ + 3*\1 + tan (x)/*log(x)|*|- ------- + 6*\1 + tan (x)/ *log(x) + ---------------------- + 6*tan (x)*\1 + tan (x)/*log(x)| + 12*tan (x)*\1 + tan (x)/*log(x) + ------------------------ + ------------------------ + 42*\1 + tan (x)/ *tan (x)*log(x)|
|\ x / 3 2 \ x / | 2 x | x x |
\ x x \ x / /
$$x^{\tan^{3}{\left(x \right)}} \left(\left(3 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right)^{3} \tan^{6}{\left(x \right)} + 3 \left(3 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{\tan{\left(x \right)}}{x}\right) \left(6 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{2}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{\tan^{2}{\left(x \right)}}{x^{2}}\right) \tan^{3}{\left(x \right)} + 6 \left(\tan^{2}{\left(x \right)} + 1\right)^{3} \log{\left(x \right)} + 42 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} \tan^{2}{\left(x \right)} + 12 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan^{4}{\left(x \right)} + \frac{18 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)}}{x} + \frac{18 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{3}{\left(x \right)}}{x} - \frac{9 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{x^{2}} + \frac{2 \tan^{3}{\left(x \right)}}{x^{3}}\right)$$