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
- x^ln(arcsin(x))
- x en el grado ln(arc seno de (x))
- xln(arcsin(x))
- xlnarcsinx
- x^lnarcsinx
-
Expresiones semejantes
- x^ln(arcsinx)
-
Expresiones con funciones
- ln
- ln(x/5)
- ln(×)
- ln(1+x²)
- ln(x+10)^10
- ln(x+1/x)
Derivada de x^ln(arcsin(x))
Solución
Ha introducido
[src]
log(asin(x)) x
$$x^{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}$$
x^log(asin(x))
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
log(asin(x)) /log(asin(x)) log(x) \
x *|------------ + -------------------|
| x ________ |
| / 2 |
\ \/ 1 - x *asin(x)/
$$x^{\log{\left(\operatorname{asin}{\left(x \right)} \right)}} \left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{x}\right)$$
Segunda derivada
[src]
/ 2 \
log(asin(x)) |/log(asin(x)) log(x) \ log(asin(x)) log(x) 2 x*log(x) |
x *||------------ + -------------------| - ------------ + ------------------ + --------------------- + -------------------|
|| x ________ | 2 / 2\ 2 ________ 3/2 |
|| / 2 | x \-1 + x /*asin (x) / 2 / 2\ |
\\ \/ 1 - x *asin(x)/ x*\/ 1 - x *asin(x) \1 - x / *asin(x)/
$$x^{\log{\left(\operatorname{asin}{\left(x \right)} \right)}} \left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{x}\right)^{2} + \frac{\log{\left(x \right)}}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} + \frac{2}{x \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{x^{2}}\right)$$
Tercera derivada
[src]
/ 3 2 \
log(asin(x)) |/log(asin(x)) log(x) \ 2*log(asin(x)) 3 /log(asin(x)) log(x) \ / log(asin(x)) log(x) 2 x*log(x) \ log(x) 3 2*log(x) 3 3*x*log(x) 3*x *log(x) |
x *||------------ + -------------------| + -------------- + ------------------- + 3*|------------ + -------------------|*|- ------------ + ------------------ + --------------------- + -------------------| + ------------------- - ---------------------- + -------------------- + -------------------- - ------------------- + -------------------|
|| x ________ | 3 3/2 | x ________ | | 2 / 2\ 2 ________ 3/2 | 3/2 ________ 3/2 / 2\ 2 2 5/2 |
|| / 2 | x / 2\ | / 2 | | x \-1 + x /*asin (x) / 2 / 2\ | / 2\ 2 / 2 / 2\ 3 x*\-1 + x /*asin (x) / 2\ 2 / 2\ |
\\ \/ 1 - x *asin(x)/ \1 - x / *asin(x) \ \/ 1 - x *asin(x)/ \ x*\/ 1 - x *asin(x) \1 - x / *asin(x)/ \1 - x / *asin(x) x *\/ 1 - x *asin(x) \1 - x / *asin (x) \-1 + x / *asin (x) \1 - x / *asin(x)/
$$x^{\log{\left(\operatorname{asin}{\left(x \right)} \right)}} \left(\frac{3 x^{2} \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(x \right)}} - \frac{3 x \log{\left(x \right)}}{\left(x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(x \right)}} + \left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{x}\right)^{3} + 3 \left(\frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{x}\right) \left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{\log{\left(x \right)}}{\left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} + \frac{2}{x \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} - \frac{\log{\left(\operatorname{asin}{\left(x \right)} \right)}}{x^{2}}\right) + \frac{\log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{2 \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(x \right)}} + \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(x \right)}} + \frac{3}{x \left(x^{2} - 1\right) \operatorname{asin}^{2}{\left(x \right)}} - \frac{3}{x^{2} \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}} + \frac{2 \log{\left(\operatorname{asin}{\left(x \right)} \right)}}{x^{3}}\right)$$
Gráfico