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(3x-7)^5
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Derivada de x⁴+8x²+8
- Derivada de x=3acost-acos3t,y=3asint-asin3tfinddy÷dx
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Derivada de (x^3-6)*(2+x^6)
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Expresiones idénticas
- (x)^(sin(ln(x)))
- (x) en el grado ( seno de (ln(x)))
- (x)(sin(ln(x)))
- xsinlnx
- x^sinlnx
Derivada de (x)^(sin(ln(x)))
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
sin(log(x)) /sin(log(x)) cos(log(x))*log(x)\
x *|----------- + ------------------|
\ x x /
$$x^{\sin{\left(\log{\left(x \right)} \right)}} \left(\frac{\log{\left(x \right)} \cos{\left(\log{\left(x \right)} \right)}}{x} + \frac{\sin{\left(\log{\left(x \right)} \right)}}{x}\right)$$
Segunda derivada
[src]
sin(log(x)) / 2 \
x *\(cos(log(x))*log(x) + sin(log(x))) - sin(log(x)) + 2*cos(log(x)) - cos(log(x))*log(x) - log(x)*sin(log(x))/
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2
x
$$\frac{x^{\sin{\left(\log{\left(x \right)} \right)}} \left(\left(\log{\left(x \right)} \cos{\left(\log{\left(x \right)} \right)} + \sin{\left(\log{\left(x \right)} \right)}\right)^{2} - \log{\left(x \right)} \sin{\left(\log{\left(x \right)} \right)} - \log{\left(x \right)} \cos{\left(\log{\left(x \right)} \right)} - \sin{\left(\log{\left(x \right)} \right)} + 2 \cos{\left(\log{\left(x \right)} \right)}\right)}{x^{2}}$$
Tercera derivada
[src]
sin(log(x)) / 3 \
x *\(cos(log(x))*log(x) + sin(log(x))) - sin(log(x)) - 6*cos(log(x)) + cos(log(x))*log(x) - 3*(cos(log(x))*log(x) + sin(log(x)))*(-2*cos(log(x)) + cos(log(x))*log(x) + log(x)*sin(log(x)) + sin(log(x))) + 3*log(x)*sin(log(x))/
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3
x
$$\frac{x^{\sin{\left(\log{\left(x \right)} \right)}} \left(\left(\log{\left(x \right)} \cos{\left(\log{\left(x \right)} \right)} + \sin{\left(\log{\left(x \right)} \right)}\right)^{3} - 3 \left(\log{\left(x \right)} \cos{\left(\log{\left(x \right)} \right)} + \sin{\left(\log{\left(x \right)} \right)}\right) \left(\log{\left(x \right)} \sin{\left(\log{\left(x \right)} \right)} + \log{\left(x \right)} \cos{\left(\log{\left(x \right)} \right)} + \sin{\left(\log{\left(x \right)} \right)} - 2 \cos{\left(\log{\left(x \right)} \right)}\right) + 3 \log{\left(x \right)} \sin{\left(\log{\left(x \right)} \right)} + \log{\left(x \right)} \cos{\left(\log{\left(x \right)} \right)} - \sin{\left(\log{\left(x \right)} \right)} - 6 \cos{\left(\log{\left(x \right)} \right)}\right)}{x^{3}}$$
Gráfico