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 (3x^4-x)^7
-
Derivada de (3x+6)^2
-
Derivada de (1+cos(x))/(1-cos(x))
-
Derivada de (2*x-9)/(x-5)
-
Expresiones idénticas
- y=(arcsin2x)^sin3x
- y es igual a (arc seno de 2x) en el grado seno de 3x
- y=(arcsin2x)sin3x
- y=arcsin2xsin3x
- y=arcsin2x^sin3x
Derivada de y=(arcsin2x)^sin3x
Solución
Ha introducido
[src]
sin(3*x) asin (2*x)
$$\operatorname{asin}^{\sin{\left(3 x \right)}}{\left(2 x \right)}$$
asin(2*x)^sin(3*x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
sin(3*x) / 2*sin(3*x) \
asin (2*x)*|3*cos(3*x)*log(asin(2*x)) + -----------------------|
| __________ |
| / 2 |
\ \/ 1 - 4*x *asin(2*x)/
$$\left(3 \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \cos{\left(3 x \right)} + \frac{2 \sin{\left(3 x \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) \operatorname{asin}^{\sin{\left(3 x \right)}}{\left(2 x \right)}$$
Segunda derivada
[src]
/ 2 \
sin(3*x) |/ 2*sin(3*x) \ 4*sin(3*x) 12*cos(3*x) 8*x*sin(3*x) |
asin (2*x)*||3*cos(3*x)*log(asin(2*x)) + -----------------------| - 9*log(asin(2*x))*sin(3*x) + ---------------------- + ----------------------- + -----------------------|
|| __________ | / 2\ 2 __________ 3/2 |
|| / 2 | \-1 + 4*x /*asin (2*x) / 2 / 2\ |
\\ \/ 1 - 4*x *asin(2*x)/ \/ 1 - 4*x *asin(2*x) \1 - 4*x / *asin(2*x)/
$$\left(\frac{8 x \sin{\left(3 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} + \left(3 \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \cos{\left(3 x \right)} + \frac{2 \sin{\left(3 x \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right)^{2} - 9 \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \sin{\left(3 x \right)} + \frac{4 \sin{\left(3 x \right)}}{\left(4 x^{2} - 1\right) \operatorname{asin}^{2}{\left(2 x \right)}} + \frac{12 \cos{\left(3 x \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) \operatorname{asin}^{\sin{\left(3 x \right)}}{\left(2 x \right)}$$
Tercera derivada
[src]
/ 3 2 \
sin(3*x) |/ 2*sin(3*x) \ / 2*sin(3*x) \ / 4*sin(3*x) 12*cos(3*x) 8*x*sin(3*x) \ 54*sin(3*x) 8*sin(3*x) 16*sin(3*x) 36*cos(3*x) 48*x*sin(3*x) 72*x*cos(3*x) 96*x *sin(3*x) |
asin (2*x)*||3*cos(3*x)*log(asin(2*x)) + -----------------------| - 27*cos(3*x)*log(asin(2*x)) + 3*|3*cos(3*x)*log(asin(2*x)) + -----------------------|*|-9*log(asin(2*x))*sin(3*x) + ---------------------- + ----------------------- + -----------------------| - ----------------------- + ----------------------- + ------------------------ + ---------------------- - ----------------------- + ----------------------- + -----------------------|
|| __________ | | __________ | | / 2\ 2 __________ 3/2 | __________ 3/2 3/2 / 2\ 2 2 3/2 5/2 |
|| / 2 | | / 2 | | \-1 + 4*x /*asin (2*x) / 2 / 2\ | / 2 / 2\ / 2\ 3 \-1 + 4*x /*asin (2*x) / 2\ 2 / 2\ / 2\ |
\\ \/ 1 - 4*x *asin(2*x)/ \ \/ 1 - 4*x *asin(2*x)/ \ \/ 1 - 4*x *asin(2*x) \1 - 4*x / *asin(2*x)/ \/ 1 - 4*x *asin(2*x) \1 - 4*x / *asin(2*x) \1 - 4*x / *asin (2*x) \-1 + 4*x / *asin (2*x) \1 - 4*x / *asin(2*x) \1 - 4*x / *asin(2*x)/
$$\left(\frac{96 x^{2} \sin{\left(3 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(2 x \right)}} - \frac{48 x \sin{\left(3 x \right)}}{\left(4 x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(2 x \right)}} + \frac{72 x \cos{\left(3 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} + \left(3 \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \cos{\left(3 x \right)} + \frac{2 \sin{\left(3 x \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right)^{3} + 3 \left(3 \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \cos{\left(3 x \right)} + \frac{2 \sin{\left(3 x \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) \left(\frac{8 x \sin{\left(3 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} - 9 \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \sin{\left(3 x \right)} + \frac{4 \sin{\left(3 x \right)}}{\left(4 x^{2} - 1\right) \operatorname{asin}^{2}{\left(2 x \right)}} + \frac{12 \cos{\left(3 x \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) - 27 \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \cos{\left(3 x \right)} + \frac{36 \cos{\left(3 x \right)}}{\left(4 x^{2} - 1\right) \operatorname{asin}^{2}{\left(2 x \right)}} - \frac{54 \sin{\left(3 x \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}} + \frac{8 \sin{\left(3 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} + \frac{16 \sin{\left(3 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(2 x \right)}}\right) \operatorname{asin}^{\sin{\left(3 x \right)}}{\left(2 x \right)}$$
Gráfico