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 6/x
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Derivada de e^(x/2)
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Derivada de (x-1)/(x+1)
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Derivada de -3/x
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Expresiones idénticas
- y=cos3x^sin27x
- y es igual a coseno de 3x en el grado seno de 27x
- y=cos3xsin27x
Derivada de y=cos3x^sin27x
Solución
Ha introducido
[src]
sin(27*x) cos (3*x)
$$\cos^{\sin{\left(27 x \right)}}{\left(3 x \right)}$$
cos(3*x)^sin(27*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(27*x) / 3*sin(3*x)*sin(27*x)\
cos (3*x)*|27*cos(27*x)*log(cos(3*x)) - --------------------|
\ cos(3*x) /
$$\left(27 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(27 x \right)} - \frac{3 \sin{\left(3 x \right)} \sin{\left(27 x \right)}}{\cos{\left(3 x \right)}}\right) \cos^{\sin{\left(27 x \right)}}{\left(3 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
sin(27*x) |/ sin(3*x)*sin(27*x)\ sin (3*x)*sin(27*x) 18*cos(27*x)*sin(3*x)|
9*cos (3*x)*||9*cos(27*x)*log(cos(3*x)) - ------------------| - sin(27*x) - 81*log(cos(3*x))*sin(27*x) - ------------------- - ---------------------|
|\ cos(3*x) / 2 cos(3*x) |
\ cos (3*x) /
$$9 \left(\left(9 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(27 x \right)} - \frac{\sin{\left(3 x \right)} \sin{\left(27 x \right)}}{\cos{\left(3 x \right)}}\right)^{2} - 81 \log{\left(\cos{\left(3 x \right)} \right)} \sin{\left(27 x \right)} - \frac{\sin^{2}{\left(3 x \right)} \sin{\left(27 x \right)}}{\cos^{2}{\left(3 x \right)}} - \frac{18 \sin{\left(3 x \right)} \cos{\left(27 x \right)}}{\cos{\left(3 x \right)}} - \sin{\left(27 x \right)}\right) \cos^{\sin{\left(27 x \right)}}{\left(3 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 \
sin(27*x) |/ sin(3*x)*sin(27*x)\ / sin(3*x)*sin(27*x)\ | sin (3*x)*sin(27*x) 18*cos(27*x)*sin(3*x) | 27*sin (3*x)*cos(27*x) 2*sin (3*x)*sin(27*x) 241*sin(3*x)*sin(27*x)|
27*cos (3*x)*||9*cos(27*x)*log(cos(3*x)) - ------------------| - 27*cos(27*x) - 729*cos(27*x)*log(cos(3*x)) - 3*|9*cos(27*x)*log(cos(3*x)) - ------------------|*|81*log(cos(3*x))*sin(27*x) + ------------------- + --------------------- + sin(27*x)| - ---------------------- - --------------------- + ----------------------|
|\ cos(3*x) / \ cos(3*x) / | 2 cos(3*x) | 2 3 cos(3*x) |
\ \ cos (3*x) / cos (3*x) cos (3*x) /
$$27 \left(\left(9 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(27 x \right)} - \frac{\sin{\left(3 x \right)} \sin{\left(27 x \right)}}{\cos{\left(3 x \right)}}\right)^{3} - 3 \left(9 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(27 x \right)} - \frac{\sin{\left(3 x \right)} \sin{\left(27 x \right)}}{\cos{\left(3 x \right)}}\right) \left(81 \log{\left(\cos{\left(3 x \right)} \right)} \sin{\left(27 x \right)} + \frac{\sin^{2}{\left(3 x \right)} \sin{\left(27 x \right)}}{\cos^{2}{\left(3 x \right)}} + \frac{18 \sin{\left(3 x \right)} \cos{\left(27 x \right)}}{\cos{\left(3 x \right)}} + \sin{\left(27 x \right)}\right) - 729 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(27 x \right)} - \frac{2 \sin^{3}{\left(3 x \right)} \sin{\left(27 x \right)}}{\cos^{3}{\left(3 x \right)}} - \frac{27 \sin^{2}{\left(3 x \right)} \cos{\left(27 x \right)}}{\cos^{2}{\left(3 x \right)}} + \frac{241 \sin{\left(3 x \right)} \sin{\left(27 x \right)}}{\cos{\left(3 x \right)}} - 27 \cos{\left(27 x \right)}\right) \cos^{\sin{\left(27 x \right)}}{\left(3 x \right)}$$
Gráfico