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 e^-1
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Derivada de (x^2)'
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Derivada de y
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Derivada de 16/x
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Expresiones idénticas
- y=(arccos(x))^sin(dos *x)
- y es igual a (arc coseno de (x)) en el grado seno de (2 multiplicar por x)
- y es igual a (arc coseno de (x)) en el grado seno de (dos multiplicar por x)
- y=(arccos(x))sin(2*x)
- y=arccosxsin2*x
- y=(arccos(x))^sin(2x)
- y=(arccos(x))sin(2x)
- y=arccosxsin2x
- y=arccosx^sin2x
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Expresiones semejantes
- y=(arccosx)^sin(2*x)
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Expresiones con funciones
- arccos
- arccos4
- arccos^2(x)
- arccos(1/x)
- arccos(2^x)
- Seno sin
- sin(3*x+2)
- sin^4(x)
- sin^3x
- sin(x)^3
- sin(x)^(1/2)
Derivada de y=(arccos(x))^sin(2*x)
Solución
Ha introducido
[src]
sin(2*x) acos (x)
$$\operatorname{acos}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
acos(x)^sin(2*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
sin(2*x) / sin(2*x) \
acos (x)*|2*cos(2*x)*log(acos(x)) - -------------------|
| ________ |
| / 2 |
\ \/ 1 - x *acos(x)/
$$\left(2 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right) \operatorname{acos}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 \
sin(2*x) |/ sin(2*x) \ sin(2*x) 4*cos(2*x) x*sin(2*x) |
acos (x)*||2*cos(2*x)*log(acos(x)) - -------------------| - 4*log(acos(x))*sin(2*x) + ------------------ - ------------------- - -------------------|
|| ________ | / 2\ 2 ________ 3/2 |
|| / 2 | \-1 + x /*acos (x) / 2 / 2\ |
\\ \/ 1 - x *acos(x)/ \/ 1 - x *acos(x) \1 - x / *acos(x)/
$$\left(- \frac{x \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} + \left(2 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right)^{2} - 4 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \sin{\left(2 x \right)} + \frac{\sin{\left(2 x \right)}}{\left(x^{2} - 1\right) \operatorname{acos}^{2}{\left(x \right)}} - \frac{4 \cos{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right) \operatorname{acos}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 \
sin(2*x) |/ sin(2*x) \ / sin(2*x) \ / sin(2*x) 4*cos(2*x) x*sin(2*x) \ sin(2*x) 2*sin(2*x) 6*cos(2*x) 12*sin(2*x) 6*x*cos(2*x) 3*x*sin(2*x) 3*x *sin(2*x) |
acos (x)*||2*cos(2*x)*log(acos(x)) - -------------------| - 8*cos(2*x)*log(acos(x)) - 3*|2*cos(2*x)*log(acos(x)) - -------------------|*|4*log(acos(x))*sin(2*x) - ------------------ + ------------------- + -------------------| - ------------------- - -------------------- + ------------------ + ------------------- - ------------------- - ------------------- - -------------------|
|| ________ | | ________ | | / 2\ 2 ________ 3/2 | 3/2 3/2 / 2\ 2 ________ 3/2 2 5/2 |
|| / 2 | | / 2 | | \-1 + x /*acos (x) / 2 / 2\ | / 2\ / 2\ 3 \-1 + x /*acos (x) / 2 / 2\ / 2\ 2 / 2\ |
\\ \/ 1 - x *acos(x)/ \ \/ 1 - x *acos(x)/ \ \/ 1 - x *acos(x) \1 - x / *acos(x)/ \1 - x / *acos(x) \1 - x / *acos (x) \/ 1 - x *acos(x) \1 - x / *acos(x) \-1 + x / *acos (x) \1 - x / *acos(x)/
$$\left(- \frac{3 x^{2} \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \operatorname{acos}{\left(x \right)}} - \frac{3 x \sin{\left(2 x \right)}}{\left(x^{2} - 1\right)^{2} \operatorname{acos}^{2}{\left(x \right)}} - \frac{6 x \cos{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} + \left(2 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right)^{3} - 3 \left(2 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right) \left(\frac{x \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} + 4 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \sin{\left(2 x \right)} - \frac{\sin{\left(2 x \right)}}{\left(x^{2} - 1\right) \operatorname{acos}^{2}{\left(x \right)}} + \frac{4 \cos{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right) - 8 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \cos{\left(2 x \right)} + \frac{6 \cos{\left(2 x \right)}}{\left(x^{2} - 1\right) \operatorname{acos}^{2}{\left(x \right)}} + \frac{12 \sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}} - \frac{\sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} - \frac{2 \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}^{3}{\left(x \right)}}\right) \operatorname{acos}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
3-я производная
[src]
/ 3 2 \
sin(2*x) |/ sin(2*x) \ / sin(2*x) \ / sin(2*x) 4*cos(2*x) x*sin(2*x) \ sin(2*x) 2*sin(2*x) 6*cos(2*x) 12*sin(2*x) 6*x*cos(2*x) 3*x*sin(2*x) 3*x *sin(2*x) |
acos (x)*||2*cos(2*x)*log(acos(x)) - -------------------| - 8*cos(2*x)*log(acos(x)) - 3*|2*cos(2*x)*log(acos(x)) - -------------------|*|4*log(acos(x))*sin(2*x) - ------------------ + ------------------- + -------------------| - ------------------- - -------------------- + ------------------ + ------------------- - ------------------- - ------------------- - -------------------|
|| ________ | | ________ | | / 2\ 2 ________ 3/2 | 3/2 3/2 / 2\ 2 ________ 3/2 2 5/2 |
|| / 2 | | / 2 | | \-1 + x /*acos (x) / 2 / 2\ | / 2\ / 2\ 3 \-1 + x /*acos (x) / 2 / 2\ / 2\ 2 / 2\ |
\\ \/ 1 - x *acos(x)/ \ \/ 1 - x *acos(x)/ \ \/ 1 - x *acos(x) \1 - x / *acos(x)/ \1 - x / *acos(x) \1 - x / *acos (x) \/ 1 - x *acos(x) \1 - x / *acos(x) \-1 + x / *acos (x) \1 - x / *acos(x)/
$$\left(- \frac{3 x^{2} \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}} \operatorname{acos}{\left(x \right)}} - \frac{3 x \sin{\left(2 x \right)}}{\left(x^{2} - 1\right)^{2} \operatorname{acos}^{2}{\left(x \right)}} - \frac{6 x \cos{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} + \left(2 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right)^{3} - 3 \left(2 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \cos{\left(2 x \right)} - \frac{\sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right) \left(\frac{x \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} + 4 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \sin{\left(2 x \right)} - \frac{\sin{\left(2 x \right)}}{\left(x^{2} - 1\right) \operatorname{acos}^{2}{\left(x \right)}} + \frac{4 \cos{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}}\right) - 8 \log{\left(\operatorname{acos}{\left(x \right)} \right)} \cos{\left(2 x \right)} + \frac{6 \cos{\left(2 x \right)}}{\left(x^{2} - 1\right) \operatorname{acos}^{2}{\left(x \right)}} + \frac{12 \sin{\left(2 x \right)}}{\sqrt{1 - x^{2}} \operatorname{acos}{\left(x \right)}} - \frac{\sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}{\left(x \right)}} - \frac{2 \sin{\left(2 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}} \operatorname{acos}^{3}{\left(x \right)}}\right) \operatorname{acos}^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Gráfico