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:
- Derivada de e^((3*x)^2)
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Derivada de d/dx(x)
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Derivada de (cos(x))^x^2
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Derivada de (8*x-15)^5
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Expresiones idénticas
- y=(cos2x)^sinx
- y es igual a ( coseno de 2x) en el grado seno de x
- y=(cos2x)sinx
- y=cos2xsinx
- y=cos2x^sinx
Derivada de y=(cos2x)^sinx
Solución
Ha introducido
[src]
sin(x) cos (2*x)
$$\cos^{\sin{\left(x \right)}}{\left(2 x \right)}$$
cos(2*x)^sin(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(x) / 2*sin(x)*sin(2*x)\
cos (2*x)*|cos(x)*log(cos(2*x)) - -----------------|
\ cos(2*x) /
$$\left(\log{\left(\cos{\left(2 x \right)} \right)} \cos{\left(x \right)} - \frac{2 \sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(2 x \right)}}\right) \cos^{\sin{\left(x \right)}}{\left(2 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
sin(x) |/ 2*sin(x)*sin(2*x)\ 4*cos(x)*sin(2*x) 4*sin (2*x)*sin(x)|
cos (2*x)*||cos(x)*log(cos(2*x)) - -----------------| - 4*sin(x) - log(cos(2*x))*sin(x) - ----------------- - ------------------|
|\ cos(2*x) / cos(2*x) 2 |
\ cos (2*x) /
$$\left(\left(\log{\left(\cos{\left(2 x \right)} \right)} \cos{\left(x \right)} - \frac{2 \sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(2 x \right)}}\right)^{2} - \log{\left(\cos{\left(2 x \right)} \right)} \sin{\left(x \right)} - \frac{4 \sin{\left(x \right)} \sin^{2}{\left(2 x \right)}}{\cos^{2}{\left(2 x \right)}} - 4 \sin{\left(x \right)} - \frac{4 \sin{\left(2 x \right)} \cos{\left(x \right)}}{\cos{\left(2 x \right)}}\right) \cos^{\sin{\left(x \right)}}{\left(2 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 3 2 \
sin(x) |/ 2*sin(x)*sin(2*x)\ / 2*sin(x)*sin(2*x)\ | 4*cos(x)*sin(2*x) 4*sin (2*x)*sin(x)| 16*sin (2*x)*sin(x) 12*sin (2*x)*cos(x) 10*sin(x)*sin(2*x)|
cos (2*x)*||cos(x)*log(cos(2*x)) - -----------------| - 12*cos(x) - cos(x)*log(cos(2*x)) - 3*|cos(x)*log(cos(2*x)) - -----------------|*|4*sin(x) + log(cos(2*x))*sin(x) + ----------------- + ------------------| - ------------------- - ------------------- - ------------------|
|\ cos(2*x) / \ cos(2*x) / | cos(2*x) 2 | 3 2 cos(2*x) |
\ \ cos (2*x) / cos (2*x) cos (2*x) /
$$\left(\left(\log{\left(\cos{\left(2 x \right)} \right)} \cos{\left(x \right)} - \frac{2 \sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(2 x \right)}}\right)^{3} - 3 \left(\log{\left(\cos{\left(2 x \right)} \right)} \cos{\left(x \right)} - \frac{2 \sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(2 x \right)}}\right) \left(\log{\left(\cos{\left(2 x \right)} \right)} \sin{\left(x \right)} + \frac{4 \sin{\left(x \right)} \sin^{2}{\left(2 x \right)}}{\cos^{2}{\left(2 x \right)}} + 4 \sin{\left(x \right)} + \frac{4 \sin{\left(2 x \right)} \cos{\left(x \right)}}{\cos{\left(2 x \right)}}\right) - \log{\left(\cos{\left(2 x \right)} \right)} \cos{\left(x \right)} - \frac{16 \sin{\left(x \right)} \sin^{3}{\left(2 x \right)}}{\cos^{3}{\left(2 x \right)}} - \frac{10 \sin{\left(x \right)} \sin{\left(2 x \right)}}{\cos{\left(2 x \right)}} - \frac{12 \sin^{2}{\left(2 x \right)} \cos{\left(x \right)}}{\cos^{2}{\left(2 x \right)}} - 12 \cos{\left(x \right)}\right) \cos^{\sin{\left(x \right)}}{\left(2 x \right)}$$
Gráfico