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:
- Derivada de x|x|
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Derivada de x^-7
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Derivada de f(x)=√x
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Derivada de (cosx)^x
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Expresiones idénticas
- (lnx)^tgx
- (lnx) en el grado tgx
- (lnx)tgx
- lnxtgx
- lnx^tgx
Derivada de (lnx)^tgx
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
tan(x) // 2 \ tan(x) \
log (x)*|\1 + tan (x)/*log(log(x)) + --------|
\ x*log(x)/
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\log{\left(x \right)} \right)} + \frac{\tan{\left(x \right)}}{x \log{\left(x \right)}}\right) \log{\left(x \right)}^{\tan{\left(x \right)}}$$
Segunda derivada
[src]
/ 2 / 2 \ \
tan(x) |// 2 \ tan(x) \ tan(x) tan(x) 2*\1 + tan (x)/ / 2 \ |
log (x)*||\1 + tan (x)/*log(log(x)) + --------| - --------- - ---------- + --------------- + 2*\1 + tan (x)/*log(log(x))*tan(x)|
|\ x*log(x)/ 2 2 2 x*log(x) |
\ x *log(x) x *log (x) /
$$\left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\log{\left(x \right)} \right)} + \frac{\tan{\left(x \right)}}{x \log{\left(x \right)}}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\log{\left(x \right)} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x \log{\left(x \right)}} - \frac{\tan{\left(x \right)}}{x^{2} \log{\left(x \right)}} - \frac{\tan{\left(x \right)}}{x^{2} \log{\left(x \right)}^{2}}\right) \log{\left(x \right)}^{\tan{\left(x \right)}}$$
Tercera derivada
[src]
/ 3 2 / / 2 \ \ / 2 \ / 2 \ / 2 \ \
tan(x) |// 2 \ tan(x) \ / 2 \ // 2 \ tan(x) \ | tan(x) tan(x) 2*\1 + tan (x)/ / 2 \ | 3*\1 + tan (x)/ 3*\1 + tan (x)/ 2*tan(x) 2*tan(x) 3*tan(x) 2 / 2 \ 6*\1 + tan (x)/*tan(x)|
log (x)*||\1 + tan (x)/*log(log(x)) + --------| + 2*\1 + tan (x)/ *log(log(x)) + 3*|\1 + tan (x)/*log(log(x)) + --------|*|- --------- - ---------- + --------------- + 2*\1 + tan (x)/*log(log(x))*tan(x)| - --------------- - --------------- + --------- + ---------- + ---------- + 4*tan (x)*\1 + tan (x)/*log(log(x)) + ----------------------|
|\ x*log(x)/ \ x*log(x)/ | 2 2 2 x*log(x) | 2 2 2 3 3 3 3 2 x*log(x) |
\ \ x *log(x) x *log (x) / x *log(x) x *log (x) x *log(x) x *log (x) x *log (x) /
$$\left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\log{\left(x \right)} \right)} + \frac{\tan{\left(x \right)}}{x \log{\left(x \right)}}\right)^{3} + 3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\log{\left(x \right)} \right)} + \frac{\tan{\left(x \right)}}{x \log{\left(x \right)}}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\log{\left(x \right)} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x \log{\left(x \right)}} - \frac{\tan{\left(x \right)}}{x^{2} \log{\left(x \right)}} - \frac{\tan{\left(x \right)}}{x^{2} \log{\left(x \right)}^{2}}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\log{\left(x \right)} \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\log{\left(x \right)} \right)} \tan^{2}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x \log{\left(x \right)}} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2} \log{\left(x \right)}} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2} \log{\left(x \right)}^{2}} + \frac{2 \tan{\left(x \right)}}{x^{3} \log{\left(x \right)}} + \frac{3 \tan{\left(x \right)}}{x^{3} \log{\left(x \right)}^{2}} + \frac{2 \tan{\left(x \right)}}{x^{3} \log{\left(x \right)}^{3}}\right) \log{\left(x \right)}^{\tan{\left(x \right)}}$$
Gráfico