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 x^4/3-x
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Derivada de x^-4/5
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Derivada de x=1
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Derivada de x^2*2^x
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Expresiones idénticas
- (x*sin(x))^(i*n*x*sin(x))
- (x multiplicar por seno de (x)) en el grado (i multiplicar por n multiplicar por x multiplicar por seno de (x))
- (x*sin(x))(i*n*x*sin(x))
- x*sinxi*n*x*sinx
- (xsin(x))^(inxsin(x))
- (xsin(x))(inxsin(x))
- xsinxinxsinx
- xsinx^inxsinx
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Expresiones semejantes
- (x*sinx)^(i*n*x*sinx)
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Expresiones con funciones
- Seno sin
- sin(x+π)
- sin(7*x)^(2)
- sin(3*y)
- sin(2*x-pi/3)
- sin^-1(cosx)
- Seno sin
- sin(x+π)
- sin(7*x)^(2)
- sin(3*y)
- sin(2*x-pi/3)
- sin^-1(cosx)
Derivada de (x*sin(x))^(i*n*x*sin(x))
Solución
Ha introducido
[src]
I*n*x*sin(x) (x*sin(x))
$$\left(x \sin{\left(x \right)}\right)^{x i n \sin{\left(x \right)}}$$
(x*sin(x))^(((i*n)*x)*sin(x))
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
[src]
I*n*x*sin(x) (x*sin(x)) *((I*n*sin(x) + I*n*x*cos(x))*log(x*sin(x)) + I*n*(x*cos(x) + sin(x)))
$$\left(x \sin{\left(x \right)}\right)^{x i n \sin{\left(x \right)}} \left(i n \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) + \left(i n x \cos{\left(x \right)} + i n \sin{\left(x \right)}\right) \log{\left(x \sin{\left(x \right)} \right)}\right)$$
Segunda derivada
[src]
/ / 2\ \
I*n*x*sin(x) | | (x*cos(x) + sin(x)) | 2 2|
-n*(x*sin(x)) *|I*|-2*cos(x) + x*sin(x) + (-2*cos(x) + x*sin(x))*log(x*sin(x)) - --------------------| + n*(1 + log(x*sin(x))) *(x*cos(x) + sin(x)) |
\ \ x*sin(x) / /
$$- n \left(x \sin{\left(x \right)}\right)^{i n x \sin{\left(x \right)}} \left(n \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right)^{2} \left(\log{\left(x \sin{\left(x \right)} \right)} + 1\right)^{2} + i \left(x \sin{\left(x \right)} + \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \log{\left(x \sin{\left(x \right)} \right)} - 2 \cos{\left(x \right)} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right)^{2}}{x \sin{\left(x \right)}}\right)\right)$$
Tercera derivada
[src]
/ / 2 2 \ / 2\\
I*n*x*sin(x) | | (x*cos(x) + sin(x)) (x*cos(x) + sin(x)) *cos(x) 3*(-2*cos(x) + x*sin(x))*(x*cos(x) + sin(x))| 2 3 3 | (x*cos(x) + sin(x)) ||
n*(x*sin(x)) *|- I*|3*sin(x) + x*cos(x) + (3*sin(x) + x*cos(x))*log(x*sin(x)) + -------------------- + --------------------------- + --------------------------------------------| - I*n *(1 + log(x*sin(x))) *(x*cos(x) + sin(x)) + 3*n*(1 + log(x*sin(x)))*(x*cos(x) + sin(x))*|-2*cos(x) + x*sin(x) + (-2*cos(x) + x*sin(x))*log(x*sin(x)) - --------------------||
| | 2 2 x*sin(x) | \ x*sin(x) /|
\ \ x *sin(x) x*sin (x) / /
$$n \left(x \sin{\left(x \right)}\right)^{i n x \sin{\left(x \right)}} \left(- i n^{2} \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right)^{3} \left(\log{\left(x \sin{\left(x \right)} \right)} + 1\right)^{3} + 3 n \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right) \left(\log{\left(x \sin{\left(x \right)} \right)} + 1\right) \left(x \sin{\left(x \right)} + \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \log{\left(x \sin{\left(x \right)} \right)} - 2 \cos{\left(x \right)} - \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right)^{2}}{x \sin{\left(x \right)}}\right) - i \left(x \cos{\left(x \right)} + \left(x \cos{\left(x \right)} + 3 \sin{\left(x \right)}\right) \log{\left(x \sin{\left(x \right)} \right)} + 3 \sin{\left(x \right)} + \frac{3 \left(x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right) \left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right)}{x \sin{\left(x \right)}} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right)^{2} \cos{\left(x \right)}}{x \sin^{2}{\left(x \right)}} + \frac{\left(x \cos{\left(x \right)} + \sin{\left(x \right)}\right)^{2}}{x^{2} \sin{\left(x \right)}}\right)\right)$$