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^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de y=-6/x
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Expresiones idénticas
- y=(cos(3x))^sin2x
- y es igual a ( coseno de (3x)) en el grado seno de 2x
- y=(cos(3x))sin2x
- y=cos3xsin2x
- y=cos3x^sin2x
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Expresiones con funciones
- Coseno cos
- cos(x)*x^3
- cos(asin(x))
- cos(b)cot(b)
- cose^x
- cos(acot(5*t))
Derivada de y=(cos(3x))^sin2x
Solución
Ha introducido
[src]
sin(2*x) cos (3*x)
$$\cos^{\sin{\left(2 x \right)}}{\left(3 x \right)}$$
cos(3*x)^sin(2*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(2*x) / 3*sin(2*x)*sin(3*x)\
cos (3*x)*|2*cos(2*x)*log(cos(3*x)) - -------------------|
\ cos(3*x) /
$$\left(2 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(2 x \right)} - \frac{3 \sin{\left(2 x \right)} \sin{\left(3 x \right)}}{\cos{\left(3 x \right)}}\right) \cos^{\sin{\left(2 x \right)}}{\left(3 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
sin(2*x) |/ 3*sin(2*x)*sin(3*x)\ 12*cos(2*x)*sin(3*x) 9*sin (3*x)*sin(2*x)|
cos (3*x)*||2*cos(2*x)*log(cos(3*x)) - -------------------| - 9*sin(2*x) - 4*log(cos(3*x))*sin(2*x) - -------------------- - --------------------|
|\ cos(3*x) / cos(3*x) 2 |
\ cos (3*x) /
$$\left(\left(2 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(2 x \right)} - \frac{3 \sin{\left(2 x \right)} \sin{\left(3 x \right)}}{\cos{\left(3 x \right)}}\right)^{2} - 4 \log{\left(\cos{\left(3 x \right)} \right)} \sin{\left(2 x \right)} - \frac{9 \sin{\left(2 x \right)} \sin^{2}{\left(3 x \right)}}{\cos^{2}{\left(3 x \right)}} - 9 \sin{\left(2 x \right)} - \frac{12 \sin{\left(3 x \right)} \cos{\left(2 x \right)}}{\cos{\left(3 x \right)}}\right) \cos^{\sin{\left(2 x \right)}}{\left(3 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 3 2 \
sin(2*x) |/ 3*sin(2*x)*sin(3*x)\ / 3*sin(2*x)*sin(3*x)\ | 9*sin (3*x)*sin(2*x) 12*cos(2*x)*sin(3*x)| 54*sin (3*x)*sin(2*x) 54*sin (3*x)*cos(2*x) 18*sin(2*x)*sin(3*x)|
cos (3*x)*||2*cos(2*x)*log(cos(3*x)) - -------------------| - 54*cos(2*x) - 8*cos(2*x)*log(cos(3*x)) - 3*|2*cos(2*x)*log(cos(3*x)) - -------------------|*|9*sin(2*x) + 4*log(cos(3*x))*sin(2*x) + -------------------- + --------------------| - --------------------- - --------------------- - --------------------|
|\ cos(3*x) / \ cos(3*x) / | 2 cos(3*x) | 3 2 cos(3*x) |
\ \ cos (3*x) / cos (3*x) cos (3*x) /
$$\left(\left(2 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(2 x \right)} - \frac{3 \sin{\left(2 x \right)} \sin{\left(3 x \right)}}{\cos{\left(3 x \right)}}\right)^{3} - 3 \left(2 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(2 x \right)} - \frac{3 \sin{\left(2 x \right)} \sin{\left(3 x \right)}}{\cos{\left(3 x \right)}}\right) \left(4 \log{\left(\cos{\left(3 x \right)} \right)} \sin{\left(2 x \right)} + \frac{9 \sin{\left(2 x \right)} \sin^{2}{\left(3 x \right)}}{\cos^{2}{\left(3 x \right)}} + 9 \sin{\left(2 x \right)} + \frac{12 \sin{\left(3 x \right)} \cos{\left(2 x \right)}}{\cos{\left(3 x \right)}}\right) - 8 \log{\left(\cos{\left(3 x \right)} \right)} \cos{\left(2 x \right)} - \frac{54 \sin{\left(2 x \right)} \sin^{3}{\left(3 x \right)}}{\cos^{3}{\left(3 x \right)}} - \frac{18 \sin{\left(2 x \right)} \sin{\left(3 x \right)}}{\cos{\left(3 x \right)}} - \frac{54 \sin^{2}{\left(3 x \right)} \cos{\left(2 x \right)}}{\cos^{2}{\left(3 x \right)}} - 54 \cos{\left(2 x \right)}\right) \cos^{\sin{\left(2 x \right)}}{\left(3 x \right)}$$
Gráfico