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 sin(2*x+3)
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Derivada de (1-2*x)^3
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Derivada de 5/x^4
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Derivada de x^3/x
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Expresiones idénticas
- y=tgx^lnx
- y es igual a tgx en el grado lnx
- y=tgxlnx
Derivada de y=tgx^lnx
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 \ \
log(x) |log(tan(x)) \1 + tan (x)/*log(x)|
tan (x)*|----------- + --------------------|
\ x tan(x) /
$$\left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\tan{\left(x \right)}} + \frac{\log{\left(\tan{\left(x \right)} \right)}}{x}\right) \tan^{\log{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \|
log(x) ||log(tan(x)) \1 + tan (x)/*log(x)| log(tan(x)) / 2 \ \1 + tan (x)/ *log(x) 2*\1 + tan (x)/|
tan (x)*||----------- + --------------------| - ----------- + 2*\1 + tan (x)/*log(x) - --------------------- + ---------------|
|\ x tan(x) / 2 2 x*tan(x) |
\ x tan (x) /
$$\left(\left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\tan{\left(x \right)}} + \frac{\log{\left(\tan{\left(x \right)} \right)}}{x}\right)^{2} - \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)}}{\tan^{2}{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x \tan{\left(x \right)}} - \frac{\log{\left(\tan{\left(x \right)} \right)}}{x^{2}}\right) \tan^{\log{\left(x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \| / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ |
log(x) ||log(tan(x)) \1 + tan (x)/*log(x)| |log(tan(x)) \1 + tan (x)/*log(x)| |log(tan(x)) / 2 \ \1 + tan (x)/ *log(x) 2*\1 + tan (x)/| 2*log(tan(x)) 6*\1 + tan (x)/ 4*\1 + tan (x)/ *log(x) 3*\1 + tan (x)/ 3*\1 + tan (x)/ 2*\1 + tan (x)/ *log(x) / 2 \ |
tan (x)*||----------- + --------------------| - 3*|----------- + --------------------|*|----------- - 2*\1 + tan (x)/*log(x) + --------------------- - ---------------| + ------------- + --------------- - ----------------------- - ---------------- - --------------- + ----------------------- + 4*\1 + tan (x)/*log(x)*tan(x)|
|\ x tan(x) / \ x tan(x) / | 2 2 x*tan(x) | 3 x tan(x) 2 2 3 |
\ \ x tan (x) / x x*tan (x) x *tan(x) tan (x) /
$$\left(\left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\tan{\left(x \right)}} + \frac{\log{\left(\tan{\left(x \right)} \right)}}{x}\right)^{3} - 3 \left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\tan{\left(x \right)}} + \frac{\log{\left(\tan{\left(x \right)} \right)}}{x}\right) \left(\frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)}}{\tan^{2}{\left(x \right)}} - 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x \tan{\left(x \right)}} + \frac{\log{\left(\tan{\left(x \right)} \right)}}{x^{2}}\right) + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)^{3} \log{\left(x \right)}}{\tan^{3}{\left(x \right)}} - \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)}}{\tan{\left(x \right)}} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \tan{\left(x \right)} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{x \tan^{2}{\left(x \right)}} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2} \tan{\left(x \right)}} + \frac{2 \log{\left(\tan{\left(x \right)} \right)}}{x^{3}}\right) \tan^{\log{\left(x \right)}}{\left(x \right)}$$
Gráfico