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^sinsinx
- x en el grado seno de seno de x
- xsinsinx
Derivada de x^sinsinx
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(sin(x)) /sin(sin(x)) \
x *|----------- + cos(x)*cos(sin(x))*log(x)|
\ x /
$$x^{\sin{\left(\sin{\left(x \right)} \right)}} \left(\log{\left(x \right)} \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} + \frac{\sin{\left(\sin{\left(x \right)} \right)}}{x}\right)$$
Segunda derivada
[src]
/ 2 \
sin(sin(x)) |/sin(sin(x)) \ sin(sin(x)) 2 2*cos(x)*cos(sin(x))|
x *||----------- + cos(x)*cos(sin(x))*log(x)| - ----------- - cos (x)*log(x)*sin(sin(x)) - cos(sin(x))*log(x)*sin(x) + --------------------|
|\ x / 2 x |
\ x /
$$x^{\sin{\left(\sin{\left(x \right)} \right)}} \left(\left(\log{\left(x \right)} \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} + \frac{\sin{\left(\sin{\left(x \right)} \right)}}{x}\right)^{2} - \log{\left(x \right)} \sin{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} - \log{\left(x \right)} \sin{\left(\sin{\left(x \right)} \right)} \cos^{2}{\left(x \right)} + \frac{2 \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}}{x} - \frac{\sin{\left(\sin{\left(x \right)} \right)}}{x^{2}}\right)$$
Tercera derivada
[src]
/ 3 2 \
sin(sin(x)) |/sin(sin(x)) \ /sin(sin(x)) \ /sin(sin(x)) 2 2*cos(x)*cos(sin(x))\ 2*sin(sin(x)) 3 3*cos (x)*sin(sin(x)) 3*cos(sin(x))*sin(x) 3*cos(x)*cos(sin(x)) |
x *||----------- + cos(x)*cos(sin(x))*log(x)| - 3*|----------- + cos(x)*cos(sin(x))*log(x)|*|----------- + cos (x)*log(x)*sin(sin(x)) + cos(sin(x))*log(x)*sin(x) - --------------------| + ------------- - cos (x)*cos(sin(x))*log(x) - cos(x)*cos(sin(x))*log(x) - --------------------- - -------------------- - -------------------- + 3*cos(x)*log(x)*sin(x)*sin(sin(x))|
|\ x / \ x / | 2 x | 3 x x 2 |
\ \ x / x x /
$$x^{\sin{\left(\sin{\left(x \right)} \right)}} \left(\left(\log{\left(x \right)} \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} + \frac{\sin{\left(\sin{\left(x \right)} \right)}}{x}\right)^{3} - 3 \left(\log{\left(x \right)} \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} + \frac{\sin{\left(\sin{\left(x \right)} \right)}}{x}\right) \left(\log{\left(x \right)} \sin{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} + \log{\left(x \right)} \sin{\left(\sin{\left(x \right)} \right)} \cos^{2}{\left(x \right)} - \frac{2 \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}}{x} + \frac{\sin{\left(\sin{\left(x \right)} \right)}}{x^{2}}\right) + 3 \log{\left(x \right)} \sin{\left(x \right)} \sin{\left(\sin{\left(x \right)} \right)} \cos{\left(x \right)} - \log{\left(x \right)} \cos^{3}{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} - \log{\left(x \right)} \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} - \frac{3 \sin{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}}{x} - \frac{3 \sin{\left(\sin{\left(x \right)} \right)} \cos^{2}{\left(x \right)}}{x} - \frac{3 \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}}{x^{2}} + \frac{2 \sin{\left(\sin{\left(x \right)} \right)}}{x^{3}}\right)$$
Gráfico