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 -5*tan(2*t)-4*cot(4*t)
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Derivada de (3x+6)^2
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Derivada de 3^(x*x)
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Derivada de 2*x-8/x
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Expresiones idénticas
- y=(cos)^(sin3x)
- y es igual a ( coseno de ) en el grado ( seno de 3x)
- y=(cos)(sin3x)
- y=cossin3x
- y=cos^sin3x
Derivada de y=(cos)^(sin3x)
Solución
Ha introducido
[src]
sin(3*x) cos (x)
$$\cos^{\sin{\left(3 x \right)}}{\left(x \right)}$$
cos(x)^sin(3*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(3*x) / sin(x)*sin(3*x)\
cos (x)*|3*cos(3*x)*log(cos(x)) - ---------------|
\ cos(x) /
$$\left(3 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(3 x \right)} - \frac{\sin{\left(x \right)} \sin{\left(3 x \right)}}{\cos{\left(x \right)}}\right) \cos^{\sin{\left(3 x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
sin(3*x) |/ sin(x)*sin(3*x)\ sin (x)*sin(3*x) 6*cos(3*x)*sin(x)|
cos (x)*||3*cos(3*x)*log(cos(x)) - ---------------| - sin(3*x) - 9*log(cos(x))*sin(3*x) - ---------------- - -----------------|
|\ cos(x) / 2 cos(x) |
\ cos (x) /
$$\left(\left(3 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(3 x \right)} - \frac{\sin{\left(x \right)} \sin{\left(3 x \right)}}{\cos{\left(x \right)}}\right)^{2} - 9 \log{\left(\cos{\left(x \right)} \right)} \sin{\left(3 x \right)} - \frac{\sin^{2}{\left(x \right)} \sin{\left(3 x \right)}}{\cos^{2}{\left(x \right)}} - \frac{6 \sin{\left(x \right)} \cos{\left(3 x \right)}}{\cos{\left(x \right)}} - \sin{\left(3 x \right)}\right) \cos^{\sin{\left(3 x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 \
sin(3*x) |/ sin(x)*sin(3*x)\ / sin(x)*sin(3*x)\ | sin (x)*sin(3*x) 6*cos(3*x)*sin(x) | 9*sin (x)*cos(3*x) 2*sin (x)*sin(3*x) 25*sin(x)*sin(3*x)|
cos (x)*||3*cos(3*x)*log(cos(x)) - ---------------| - 9*cos(3*x) - 27*cos(3*x)*log(cos(x)) - 3*|3*cos(3*x)*log(cos(x)) - ---------------|*|9*log(cos(x))*sin(3*x) + ---------------- + ----------------- + sin(3*x)| - ------------------ - ------------------ + ------------------|
|\ cos(x) / \ cos(x) / | 2 cos(x) | 2 3 cos(x) |
\ \ cos (x) / cos (x) cos (x) /
$$\left(\left(3 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(3 x \right)} - \frac{\sin{\left(x \right)} \sin{\left(3 x \right)}}{\cos{\left(x \right)}}\right)^{3} - 3 \left(3 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(3 x \right)} - \frac{\sin{\left(x \right)} \sin{\left(3 x \right)}}{\cos{\left(x \right)}}\right) \left(9 \log{\left(\cos{\left(x \right)} \right)} \sin{\left(3 x \right)} + \frac{\sin^{2}{\left(x \right)} \sin{\left(3 x \right)}}{\cos^{2}{\left(x \right)}} + \frac{6 \sin{\left(x \right)} \cos{\left(3 x \right)}}{\cos{\left(x \right)}} + \sin{\left(3 x \right)}\right) - 27 \log{\left(\cos{\left(x \right)} \right)} \cos{\left(3 x \right)} - \frac{2 \sin^{3}{\left(x \right)} \sin{\left(3 x \right)}}{\cos^{3}{\left(x \right)}} - \frac{9 \sin^{2}{\left(x \right)} \cos{\left(3 x \right)}}{\cos^{2}{\left(x \right)}} + \frac{25 \sin{\left(x \right)} \sin{\left(3 x \right)}}{\cos{\left(x \right)}} - 9 \cos{\left(3 x \right)}\right) \cos^{\sin{\left(3 x \right)}}{\left(x \right)}$$
Gráfico