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 tan(x/2)
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Derivada de sin(x)/cos(x)
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Derivada de x^-3
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Derivada de x^2*sqrt(x)
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Expresiones idénticas
- y=(sinx^ dos)^sin7x
- y es igual a ( seno de x al cuadrado ) en el grado seno de 7x
- y es igual a ( seno de x en el grado dos) en el grado seno de 7x
- y=(sinx2)sin7x
- y=sinx2sin7x
- y=(sinx²)^sin7x
- y=(sinx en el grado 2) en el grado sin7x
- y=sinx^2^sin7x
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Expresiones con funciones
- sinx
- sinx-cosx
- sinx^cosx
- sinxcosx
- sinx/1+cosx
- sinx*e^x
Derivada de y=(sinx^2)^sin7x
Solución
Ha introducido
[src]
sin(7*x) 2 sin (x)
$$\left(\sin^{2}{\left(x \right)}\right)^{\sin{\left(7 x \right)}}$$
(sin(x)^2)^sin(7*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
2*sin(7*x) / / 2 \ 2*cos(x)*sin(7*x)\
|sin(x)| *|7*cos(7*x)*log\sin (x)/ + -----------------|
\ sin(x) /
$$\left(7 \log{\left(\sin^{2}{\left(x \right)} \right)} \cos{\left(7 x \right)} + \frac{2 \sin{\left(7 x \right)} \cos{\left(x \right)}}{\sin{\left(x \right)}}\right) \left|{\sin{\left(x \right)}}\right|^{2 \sin{\left(7 x \right)}}$$
Segunda derivada
[src]
/ 2 \
2*sin(7*x) | / 2 \ / / 2 \ 2*cos(x)*sin(7*x)\ / cos(x)*sign(sin(x))*sin(7*x)\ 2*cos (x)*sin(7*x) 28*cos(x)*cos(7*x)|
|sin(x)| *|-2*sin(7*x) - 49*log\sin (x)/*sin(7*x) + 2*|7*cos(7*x)*log\sin (x)/ + -----------------|*|7*cos(7*x)*log(|sin(x)|) + ----------------------------| - ------------------ + ------------------|
| \ sin(x) / \ |sin(x)| / 2 sin(x) |
\ sin (x) /
$$\left(2 \left(7 \log{\left(\sin^{2}{\left(x \right)} \right)} \cos{\left(7 x \right)} + \frac{2 \sin{\left(7 x \right)} \cos{\left(x \right)}}{\sin{\left(x \right)}}\right) \left(7 \log{\left(\left|{\sin{\left(x \right)}}\right| \right)} \cos{\left(7 x \right)} + \frac{\sin{\left(7 x \right)} \cos{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)}}{\left|{\sin{\left(x \right)}}\right|}\right) - 49 \log{\left(\sin^{2}{\left(x \right)} \right)} \sin{\left(7 x \right)} - 2 \sin{\left(7 x \right)} + \frac{28 \cos{\left(x \right)} \cos{\left(7 x \right)}}{\sin{\left(x \right)}} - \frac{2 \sin{\left(7 x \right)} \cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) \left|{\sin{\left(x \right)}}\right|^{2 \sin{\left(7 x \right)}}$$
Tercera derivada
[src]
/ / 2 \ / 2 2 2 \ 2 2 3 \
2*sin(7*x) | / 2 \ / cos(x)*sign(sin(x))*sin(7*x)\ | / 2 \ 28*cos(x)*cos(7*x) 2*cos (x)*sin(7*x)| / / 2 \ 2*cos(x)*sin(7*x)\ | sign(sin(x))*sin(x)*sin(7*x) cos (x)*sign (sin(x))*sin(7*x) 14*cos(x)*cos(7*x)*sign(sin(x)) 2*cos (x)*DiracDelta(sin(x))*sin(7*x)| / cos(x)*sign(sin(x))*sin(7*x)\ / / 2 \ 2*cos(x)*sin(7*x)\ 290*cos(x)*sin(7*x) 42*cos (x)*cos(7*x) 4*cos (x)*sin(7*x)|
|sin(x)| *|-42*cos(7*x) - 343*cos(7*x)*log\sin (x)/ - 4*|7*cos(7*x)*log(|sin(x)|) + ----------------------------|*|2*sin(7*x) + 49*log\sin (x)/*sin(7*x) - ------------------ + ------------------| - 2*|7*cos(7*x)*log\sin (x)/ + -----------------|*|49*log(|sin(x)|)*sin(7*x) + ---------------------------- + ------------------------------ - ------------------------------- - -------------------------------------| + 4*|7*cos(7*x)*log(|sin(x)|) + ----------------------------| *|7*cos(7*x)*log\sin (x)/ + -----------------| - ------------------- - ------------------- + ------------------|
| \ |sin(x)| / | sin(x) 2 | \ sin(x) / | |sin(x)| 2 |sin(x)| |sin(x)| | \ |sin(x)| / \ sin(x) / sin(x) 2 3 |
\ \ sin (x) / \ sin (x) / sin (x) sin (x) /
$$\left(4 \left(7 \log{\left(\sin^{2}{\left(x \right)} \right)} \cos{\left(7 x \right)} + \frac{2 \sin{\left(7 x \right)} \cos{\left(x \right)}}{\sin{\left(x \right)}}\right) \left(7 \log{\left(\left|{\sin{\left(x \right)}}\right| \right)} \cos{\left(7 x \right)} + \frac{\sin{\left(7 x \right)} \cos{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)}}{\left|{\sin{\left(x \right)}}\right|}\right)^{2} - 2 \left(7 \log{\left(\sin^{2}{\left(x \right)} \right)} \cos{\left(7 x \right)} + \frac{2 \sin{\left(7 x \right)} \cos{\left(x \right)}}{\sin{\left(x \right)}}\right) \left(49 \log{\left(\left|{\sin{\left(x \right)}}\right| \right)} \sin{\left(7 x \right)} + \frac{\sin{\left(x \right)} \sin{\left(7 x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)}}{\left|{\sin{\left(x \right)}}\right|} - \frac{2 \sin{\left(7 x \right)} \cos^{2}{\left(x \right)} \delta\left(\sin{\left(x \right)}\right)}{\left|{\sin{\left(x \right)}}\right|} - \frac{14 \cos{\left(x \right)} \cos{\left(7 x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)}}{\left|{\sin{\left(x \right)}}\right|} + \frac{\sin{\left(7 x \right)} \cos^{2}{\left(x \right)} \operatorname{sign}^{2}{\left(\sin{\left(x \right)} \right)}}{\sin^{2}{\left(x \right)}}\right) - 4 \left(7 \log{\left(\left|{\sin{\left(x \right)}}\right| \right)} \cos{\left(7 x \right)} + \frac{\sin{\left(7 x \right)} \cos{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)}}{\left|{\sin{\left(x \right)}}\right|}\right) \left(49 \log{\left(\sin^{2}{\left(x \right)} \right)} \sin{\left(7 x \right)} + 2 \sin{\left(7 x \right)} - \frac{28 \cos{\left(x \right)} \cos{\left(7 x \right)}}{\sin{\left(x \right)}} + \frac{2 \sin{\left(7 x \right)} \cos^{2}{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right) - 343 \log{\left(\sin^{2}{\left(x \right)} \right)} \cos{\left(7 x \right)} - 42 \cos{\left(7 x \right)} - \frac{290 \sin{\left(7 x \right)} \cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{42 \cos^{2}{\left(x \right)} \cos{\left(7 x \right)}}{\sin^{2}{\left(x \right)}} + \frac{4 \sin{\left(7 x \right)} \cos^{3}{\left(x \right)}}{\sin^{3}{\left(x \right)}}\right) \left|{\sin{\left(x \right)}}\right|^{2 \sin{\left(7 x \right)}}$$