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
-
¿Cómo usar?
- Derivada de:
-
Derivada de x^-8
-
Derivada de x^2/lnx
-
Derivada de √x+2
-
Derivada de (t^(2)+1)÷(t^(1÷2)-1)
-
Expresiones idénticas
- y=(tg2x)^lnx
- y es igual a (tg2x) en el grado lnx
- y=(tg2x)lnx
- y=tg2xlnx
- y=tg2x^lnx
Derivada de y=(tg2x)^lnx
Solución
Ha introducido
[src]
log(x) tan (2*x)
$$\tan^{\log{\left(x \right)}}{\left(2 x \right)}$$
tan(2*x)^log(x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
log(x) |log(tan(2*x)) \2 + 2*tan (2*x)/*log(x)|
tan (2*x)*|------------- + ------------------------|
\ x tan(2*x) /
$$\left(\frac{\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \log{\left(x \right)}}{\tan{\left(2 x \right)}} + \frac{\log{\left(\tan{\left(2 x \right)} \right)}}{x}\right) \tan^{\log{\left(x \right)}}{\left(2 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \|
log(x) ||log(tan(2*x)) 2*\1 + tan (2*x)/*log(x)| log(tan(2*x)) / 2 \ 4*\1 + tan (2*x)/ *log(x) 4*\1 + tan (2*x)/|
tan (2*x)*||------------- + ------------------------| - ------------- + 8*\1 + tan (2*x)/*log(x) - ------------------------- + -----------------|
|\ x tan(2*x) / 2 2 x*tan(2*x) |
\ x tan (2*x) /
$$\left(\left(\frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \right)}}{\tan{\left(2 x \right)}} + \frac{\log{\left(\tan{\left(2 x \right)} \right)}}{x}\right)^{2} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(x \right)}}{\tan^{2}{\left(2 x \right)}} + 8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \right)} + \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x \tan{\left(2 x \right)}} - \frac{\log{\left(\tan{\left(2 x \right)} \right)}}{x^{2}}\right) \tan^{\log{\left(x \right)}}{\left(2 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ |
log(x) ||log(tan(2*x)) 2*\1 + tan (2*x)/*log(x)| |log(tan(2*x)) 2*\1 + tan (2*x)/*log(x)| |log(tan(2*x)) / 2 \ 4*\1 + tan (2*x)/ 4*\1 + tan (2*x)/ *log(x)| 2*log(tan(2*x)) 24*\1 + tan (2*x)/ 32*\1 + tan (2*x)/ *log(x) 12*\1 + tan (2*x)/ 6*\1 + tan (2*x)/ 16*\1 + tan (2*x)/ *log(x) / 2 \ |
tan (2*x)*||------------- + ------------------------| - 3*|------------- + ------------------------|*|------------- - 8*\1 + tan (2*x)/*log(x) - ----------------- + -------------------------| + --------------- + ------------------ - -------------------------- - ------------------- - ----------------- + -------------------------- + 32*\1 + tan (2*x)/*log(x)*tan(2*x)|
|\ x tan(2*x) / \ x tan(2*x) / | 2 x*tan(2*x) 2 | 3 x tan(2*x) 2 2 3 |
\ \ x tan (2*x) / x x*tan (2*x) x *tan(2*x) tan (2*x) /
$$\left(\left(\frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \right)}}{\tan{\left(2 x \right)}} + \frac{\log{\left(\tan{\left(2 x \right)} \right)}}{x}\right)^{3} - 3 \left(\frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \right)}}{\tan{\left(2 x \right)}} + \frac{\log{\left(\tan{\left(2 x \right)} \right)}}{x}\right) \left(\frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(x \right)}}{\tan^{2}{\left(2 x \right)}} - 8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \right)} - \frac{4 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x \tan{\left(2 x \right)}} + \frac{\log{\left(\tan{\left(2 x \right)} \right)}}{x^{2}}\right) + \frac{16 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{3} \log{\left(x \right)}}{\tan^{3}{\left(2 x \right)}} - \frac{32 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(x \right)}}{\tan{\left(2 x \right)}} + 32 \left(\tan^{2}{\left(2 x \right)} + 1\right) \log{\left(x \right)} \tan{\left(2 x \right)} - \frac{12 \left(\tan^{2}{\left(2 x \right)} + 1\right)^{2}}{x \tan^{2}{\left(2 x \right)}} + \frac{24 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x} - \frac{6 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{x^{2} \tan{\left(2 x \right)}} + \frac{2 \log{\left(\tan{\left(2 x \right)} \right)}}{x^{3}}\right) \tan^{\log{\left(x \right)}}{\left(2 x \right)}$$
Gráfico