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 2*cos(3*x)
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Derivada de x^(7/6)
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Expresiones idénticas
- y=〖(sin3x)〗^cos5x
- y es igual a 〖( seno de 3x)〗 en el grado coseno de 5x
- y=〖(sin3x)〗cos5x
- y=〖sin3x〗cos5x
- y=〖sin3x〗^cos5x
Derivada de y=〖(sin3x)〗^cos5x
Solución
Ha introducido
[src]
cos(5*x) sin (3*x)
$$\sin^{\cos{\left(5 x \right)}}{\left(3 x \right)}$$
sin(3*x)^cos(5*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
cos(5*x) / 3*cos(3*x)*cos(5*x)\
sin (3*x)*|-5*log(sin(3*x))*sin(5*x) + -------------------|
\ sin(3*x) /
$$\left(- 5 \log{\left(\sin{\left(3 x \right)} \right)} \sin{\left(5 x \right)} + \frac{3 \cos{\left(3 x \right)} \cos{\left(5 x \right)}}{\sin{\left(3 x \right)}}\right) \sin^{\cos{\left(5 x \right)}}{\left(3 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
cos(5*x) |/ 3*cos(3*x)*cos(5*x)\ 30*cos(3*x)*sin(5*x) 9*cos (3*x)*cos(5*x)|
sin (3*x)*||5*log(sin(3*x))*sin(5*x) - -------------------| - 9*cos(5*x) - 25*cos(5*x)*log(sin(3*x)) - -------------------- - --------------------|
|\ sin(3*x) / sin(3*x) 2 |
\ sin (3*x) /
$$\left(\left(5 \log{\left(\sin{\left(3 x \right)} \right)} \sin{\left(5 x \right)} - \frac{3 \cos{\left(3 x \right)} \cos{\left(5 x \right)}}{\sin{\left(3 x \right)}}\right)^{2} - 25 \log{\left(\sin{\left(3 x \right)} \right)} \cos{\left(5 x \right)} - 9 \cos{\left(5 x \right)} - \frac{30 \sin{\left(5 x \right)} \cos{\left(3 x \right)}}{\sin{\left(3 x \right)}} - \frac{9 \cos^{2}{\left(3 x \right)} \cos{\left(5 x \right)}}{\sin^{2}{\left(3 x \right)}}\right) \sin^{\cos{\left(5 x \right)}}{\left(3 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 3 2 \
cos(5*x) | / 3*cos(3*x)*cos(5*x)\ / 3*cos(3*x)*cos(5*x)\ | 9*cos (3*x)*cos(5*x) 30*cos(3*x)*sin(5*x)| 171*cos(3*x)*cos(5*x) 54*cos (3*x)*cos(5*x) 135*cos (3*x)*sin(5*x)|
sin (3*x)*|- |5*log(sin(3*x))*sin(5*x) - -------------------| + 135*sin(5*x) + 3*|5*log(sin(3*x))*sin(5*x) - -------------------|*|9*cos(5*x) + 25*cos(5*x)*log(sin(3*x)) + -------------------- + --------------------| + 125*log(sin(3*x))*sin(5*x) - --------------------- + --------------------- + ----------------------|
| \ sin(3*x) / \ sin(3*x) / | 2 sin(3*x) | sin(3*x) 3 2 |
\ \ sin (3*x) / sin (3*x) sin (3*x) /
$$\left(- \left(5 \log{\left(\sin{\left(3 x \right)} \right)} \sin{\left(5 x \right)} - \frac{3 \cos{\left(3 x \right)} \cos{\left(5 x \right)}}{\sin{\left(3 x \right)}}\right)^{3} + 3 \left(5 \log{\left(\sin{\left(3 x \right)} \right)} \sin{\left(5 x \right)} - \frac{3 \cos{\left(3 x \right)} \cos{\left(5 x \right)}}{\sin{\left(3 x \right)}}\right) \left(25 \log{\left(\sin{\left(3 x \right)} \right)} \cos{\left(5 x \right)} + 9 \cos{\left(5 x \right)} + \frac{30 \sin{\left(5 x \right)} \cos{\left(3 x \right)}}{\sin{\left(3 x \right)}} + \frac{9 \cos^{2}{\left(3 x \right)} \cos{\left(5 x \right)}}{\sin^{2}{\left(3 x \right)}}\right) + 125 \log{\left(\sin{\left(3 x \right)} \right)} \sin{\left(5 x \right)} + 135 \sin{\left(5 x \right)} - \frac{171 \cos{\left(3 x \right)} \cos{\left(5 x \right)}}{\sin{\left(3 x \right)}} + \frac{135 \sin{\left(5 x \right)} \cos^{2}{\left(3 x \right)}}{\sin^{2}{\left(3 x \right)}} + \frac{54 \cos^{3}{\left(3 x \right)} \cos{\left(5 x \right)}}{\sin^{3}{\left(3 x \right)}}\right) \sin^{\cos{\left(5 x \right)}}{\left(3 x \right)}$$
Gráfico