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 (-1)/x-3*x
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Derivada de y=csc(3x²+1)
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Expresiones idénticas
- y=(x^ dos)^tg(x)
- y es igual a (x al cuadrado ) en el grado tg(x)
- y es igual a (x en el grado dos) en el grado tg(x)
- y=(x2)tg(x)
- y=x2tgx
- y=(x²)^tg(x)
- y=(x en el grado 2) en el grado tg(x)
- y=x^2^tgx
Derivada de y=(x^2)^tg(x)
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
2*tan(x) // 2 \ / 2\ 2*tan(x)\
|x| *|\1 + tan (x)/*log\x / + --------|
\ x /
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} + \frac{2 \tan{\left(x \right)}}{x}\right) \left|{x}\right|^{2 \tan{\left(x \right)}}$$
Segunda derivada
[src]
/ / 2 \ \
2*tan(x) |// 2 \ / 2\ 2*tan(x)\ // 2 \ sign(x)*tan(x)\ tan(x) 2*\1 + tan (x)/ / 2 \ / 2\ |
2*|x| *||\1 + tan (x)/*log\x / + --------|*|\1 + tan (x)/*log(|x|) + --------------| - ------ + --------------- + \1 + tan (x)/*log\x /*tan(x)|
|\ x / \ |x| / 2 x |
\ x /
$$2 \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} + \frac{2 \tan{\left(x \right)}}{x}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\left|{x}\right| \right)} + \frac{\tan{\left(x \right)} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}\right) + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right) \left|{x}\right|^{2 \tan{\left(x \right)}}$$
Tercera derivada
[src]
/ 2 / 2 / 2 \ \ / 2 \ 2 / / 2 \ \ / 2 \ \
2*tan(x) |/ 2 \ / 2\ // 2 \ / 2\ 2*tan(x)\ | sign (x)*tan(x) 2*\1 + tan (x)/*sign(x) 2*DiracDelta(x)*tan(x) / 2 \ | 3*\1 + tan (x)/ 2*tan(x) // 2 \ sign(x)*tan(x)\ // 2 \ / 2\ 2*tan(x)\ // 2 \ sign(x)*tan(x)\ | tan(x) 2*\1 + tan (x)/ / 2 \ / 2\ | 2 / 2 \ / 2\ 6*\1 + tan (x)/*tan(x)|
2*|x| *|\1 + tan (x)/ *log\x / + |\1 + tan (x)/*log\x / + --------|*|- --------------- + ----------------------- + ---------------------- + 2*\1 + tan (x)/*log(|x|)*tan(x)| - --------------- + -------- + 2*|\1 + tan (x)/*log(|x|) + --------------| *|\1 + tan (x)/*log\x / + --------| + 4*|\1 + tan (x)/*log(|x|) + --------------|*|- ------ + --------------- + \1 + tan (x)/*log\x /*tan(x)| + 2*tan (x)*\1 + tan (x)/*log\x / + ----------------------|
| \ x / | 2 |x| |x| | 2 3 \ |x| / \ x / \ |x| / | 2 x | x |
\ \ x / x x \ x / /
$$2 \left(2 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} + \frac{2 \tan{\left(x \right)}}{x}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\left|{x}\right| \right)} + \frac{\tan{\left(x \right)} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}\right)^{2} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} + \frac{2 \tan{\left(x \right)}}{x}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\left|{x}\right| \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} + \frac{2 \tan{\left(x \right)} \delta\left(x\right)}{\left|{x}\right|} - \frac{\tan{\left(x \right)} \operatorname{sign}^{2}{\left(x \right)}}{x^{2}}\right) + 4 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\left|{x}\right| \right)} + \frac{\tan{\left(x \right)} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right) + \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x^{2} \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} \tan^{2}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2}} + \frac{2 \tan{\left(x \right)}}{x^{3}}\right) \left|{x}\right|^{2 \tan{\left(x \right)}}$$