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
- y=(tglnx)^arcsinx
- y es igual a (tglnx) en el grado arc seno de x
- y=(tglnx)arcsinx
- y=tglnxarcsinx
- y=tglnx^arcsinx
Derivada de y=(tglnx)^arcsinx
Solución
Ha introducido
[src]
asin(x) tan (log(x))
$$\tan^{\operatorname{asin}{\left(x \right)}}{\left(\log{\left(x \right)} \right)}$$
tan(log(x))^asin(x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
asin(x) |log(tan(log(x))) \1 + tan (log(x))/*asin(x)|
tan (log(x))*|---------------- + --------------------------|
| ________ x*tan(log(x)) |
| / 2 |
\ \/ 1 - x /
$$\left(\frac{\log{\left(\tan{\left(\log{\left(x \right)} \right)} \right)}}{\sqrt{1 - x^{2}}} + \frac{\left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x \tan{\left(\log{\left(x \right)} \right)}}\right) \tan^{\operatorname{asin}{\left(x \right)}}{\left(\log{\left(x \right)} \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ / 2 \ / 2 \ |
asin(x) ||log(tan(log(x))) \1 + tan (log(x))/*asin(x)| x*log(tan(log(x))) 2*\1 + tan (log(x))/*asin(x) \1 + tan (log(x))/ *asin(x) \1 + tan (log(x))/*asin(x) 2*\1 + tan (log(x))/ |
tan (log(x))*||---------------- + --------------------------| + ------------------ + ---------------------------- - --------------------------- - -------------------------- + -------------------------|
|| ________ x*tan(log(x)) | 3/2 2 2 2 2 ________ |
|| / 2 | / 2\ x x *tan (log(x)) x *tan(log(x)) / 2 |
\\ \/ 1 - x / \1 - x / x*\/ 1 - x *tan(log(x))/
$$\left(\frac{x \log{\left(\tan{\left(\log{\left(x \right)} \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \left(\frac{\log{\left(\tan{\left(\log{\left(x \right)} \right)} \right)}}{\sqrt{1 - x^{2}}} + \frac{\left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x \tan{\left(\log{\left(x \right)} \right)}}\right)^{2} + \frac{2 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)}{x \sqrt{1 - x^{2}} \tan{\left(\log{\left(x \right)} \right)}} - \frac{\left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)^{2} \operatorname{asin}{\left(x \right)}}{x^{2} \tan^{2}{\left(\log{\left(x \right)} \right)}} + \frac{2 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x^{2}} - \frac{\left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x^{2} \tan{\left(\log{\left(x \right)} \right)}}\right) \tan^{\operatorname{asin}{\left(x \right)}}{\left(\log{\left(x \right)} \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 2 \
|/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ / 2 \ / 2 \ | / 2 \ 2 / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ |
asin(x) ||log(tan(log(x))) \1 + tan (log(x))/*asin(x)| log(tan(log(x))) |log(tan(log(x))) \1 + tan (log(x))/*asin(x)| |x*log(tan(log(x))) 2*\1 + tan (log(x))/*asin(x) \1 + tan (log(x))/ *asin(x) \1 + tan (log(x))/*asin(x) 2*\1 + tan (log(x))/ | 6*\1 + tan (log(x))/*asin(x) 3*x *log(tan(log(x))) 3*\1 + tan (log(x))/ 6*\1 + tan (log(x))/ 4*\1 + tan (log(x))/ *asin(x) 3*\1 + tan (log(x))/ 3*\1 + tan (log(x))/ 2*\1 + tan (log(x))/ *asin(x) 2*\1 + tan (log(x))/*asin(x) 3*\1 + tan (log(x))/ *asin(x) 4*\1 + tan (log(x))/*asin(x)*tan(log(x))|
tan (log(x))*||---------------- + --------------------------| + ---------------- + 3*|---------------- + --------------------------|*|------------------ + ---------------------------- - --------------------------- - -------------------------- + -------------------------| - ---------------------------- + --------------------- + ----------------------- + -------------------- - ----------------------------- - --------------------------- - -------------------------- + ----------------------------- + ---------------------------- + ----------------------------- + ----------------------------------------|
|| ________ x*tan(log(x)) | 3/2 | ________ x*tan(log(x)) | | 3/2 2 2 2 2 ________ | 3 5/2 3/2 ________ 3 ________ ________ 3 3 3 3 2 3 |
|| / 2 | / 2\ | / 2 | | / 2\ x x *tan (log(x)) x *tan(log(x)) / 2 | x / 2\ / 2\ 2 / 2 x *tan(log(x)) 2 / 2 2 2 / 2 x *tan (log(x)) x *tan(log(x)) x *tan (log(x)) x |
\\ \/ 1 - x / \1 - x / \ \/ 1 - x / \ \1 - x / x*\/ 1 - x *tan(log(x))/ \1 - x / \1 - x / *tan(log(x)) x *\/ 1 - x x *\/ 1 - x *tan (log(x)) x *\/ 1 - x *tan(log(x)) /
$$\left(\frac{3 x^{2} \log{\left(\tan{\left(\log{\left(x \right)} \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \left(\frac{\log{\left(\tan{\left(\log{\left(x \right)} \right)} \right)}}{\sqrt{1 - x^{2}}} + \frac{\left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x \tan{\left(\log{\left(x \right)} \right)}}\right)^{3} + 3 \left(\frac{\log{\left(\tan{\left(\log{\left(x \right)} \right)} \right)}}{\sqrt{1 - x^{2}}} + \frac{\left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x \tan{\left(\log{\left(x \right)} \right)}}\right) \left(\frac{x \log{\left(\tan{\left(\log{\left(x \right)} \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)}{x \sqrt{1 - x^{2}} \tan{\left(\log{\left(x \right)} \right)}} - \frac{\left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)^{2} \operatorname{asin}{\left(x \right)}}{x^{2} \tan^{2}{\left(\log{\left(x \right)} \right)}} + \frac{2 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x^{2}} - \frac{\left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x^{2} \tan{\left(\log{\left(x \right)} \right)}}\right) + \frac{3 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}} \tan{\left(\log{\left(x \right)} \right)}} + \frac{\log{\left(\tan{\left(\log{\left(x \right)} \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)^{2}}{x^{2} \sqrt{1 - x^{2}} \tan^{2}{\left(\log{\left(x \right)} \right)}} + \frac{6 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)}{x^{2} \sqrt{1 - x^{2}}} - \frac{3 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)}{x^{2} \sqrt{1 - x^{2}} \tan{\left(\log{\left(x \right)} \right)}} + \frac{2 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)^{3} \operatorname{asin}{\left(x \right)}}{x^{3} \tan^{3}{\left(\log{\left(x \right)} \right)}} - \frac{4 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)^{2} \operatorname{asin}{\left(x \right)}}{x^{3} \tan{\left(\log{\left(x \right)} \right)}} + \frac{3 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right)^{2} \operatorname{asin}{\left(x \right)}}{x^{3} \tan^{2}{\left(\log{\left(x \right)} \right)}} + \frac{4 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \tan{\left(\log{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)}}{x^{3}} - \frac{6 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x^{3}} + \frac{2 \left(\tan^{2}{\left(\log{\left(x \right)} \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{x^{3} \tan{\left(\log{\left(x \right)} \right)}}\right) \tan^{\operatorname{asin}{\left(x \right)}}{\left(\log{\left(x \right)} \right)}$$
Gráfico