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
-
¿Cómo usar?
- Derivada de:
-
Derivada de x^-8
-
Derivada de x^2/lnx
-
Derivada de √x+2
-
Derivada de e^xcosx
-
Expresiones idénticas
- y=(cos7x)^(sin3x)
- y es igual a ( coseno de 7x) en el grado ( seno de 3x)
- y=(cos7x)(sin3x)
- y=cos7xsin3x
- y=cos7x^sin3x
Derivada de y=(cos7x)^(sin3x)
Solución
Ha introducido
[src]
sin(3*x) cos (7*x)
$$\cos^{\sin{\left(3 x \right)}}{\left(7 x \right)}$$
cos(7*x)^sin(3*x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
sin(3*x) / 7*sin(3*x)*sin(7*x)\
cos (7*x)*|3*cos(3*x)*log(cos(7*x)) - -------------------|
\ cos(7*x) /
$$\left(3 \log{\left(\cos{\left(7 x \right)} \right)} \cos{\left(3 x \right)} - \frac{7 \sin{\left(3 x \right)} \sin{\left(7 x \right)}}{\cos{\left(7 x \right)}}\right) \cos^{\sin{\left(3 x \right)}}{\left(7 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
sin(3*x) |/ 7*sin(3*x)*sin(7*x)\ 49*sin (7*x)*sin(3*x) 42*cos(3*x)*sin(7*x)|
cos (7*x)*||3*cos(3*x)*log(cos(7*x)) - -------------------| - 49*sin(3*x) - 9*log(cos(7*x))*sin(3*x) - --------------------- - --------------------|
|\ cos(7*x) / 2 cos(7*x) |
\ cos (7*x) /
$$\left(\left(3 \log{\left(\cos{\left(7 x \right)} \right)} \cos{\left(3 x \right)} - \frac{7 \sin{\left(3 x \right)} \sin{\left(7 x \right)}}{\cos{\left(7 x \right)}}\right)^{2} - 9 \log{\left(\cos{\left(7 x \right)} \right)} \sin{\left(3 x \right)} - \frac{49 \sin{\left(3 x \right)} \sin^{2}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}} - 49 \sin{\left(3 x \right)} - \frac{42 \sin{\left(7 x \right)} \cos{\left(3 x \right)}}{\cos{\left(7 x \right)}}\right) \cos^{\sin{\left(3 x \right)}}{\left(7 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 3 2 \
sin(3*x) |/ 7*sin(3*x)*sin(7*x)\ / 7*sin(3*x)*sin(7*x)\ | 42*cos(3*x)*sin(7*x) 49*sin (7*x)*sin(3*x)| 686*sin (7*x)*sin(3*x) 497*sin(3*x)*sin(7*x) 441*sin (7*x)*cos(3*x)|
cos (7*x)*||3*cos(3*x)*log(cos(7*x)) - -------------------| - 441*cos(3*x) - 27*cos(3*x)*log(cos(7*x)) - 3*|3*cos(3*x)*log(cos(7*x)) - -------------------|*|49*sin(3*x) + 9*log(cos(7*x))*sin(3*x) + -------------------- + ---------------------| - ---------------------- - --------------------- - ----------------------|
|\ cos(7*x) / \ cos(7*x) / | cos(7*x) 2 | 3 cos(7*x) 2 |
\ \ cos (7*x) / cos (7*x) cos (7*x) /
$$\left(\left(3 \log{\left(\cos{\left(7 x \right)} \right)} \cos{\left(3 x \right)} - \frac{7 \sin{\left(3 x \right)} \sin{\left(7 x \right)}}{\cos{\left(7 x \right)}}\right)^{3} - 3 \left(3 \log{\left(\cos{\left(7 x \right)} \right)} \cos{\left(3 x \right)} - \frac{7 \sin{\left(3 x \right)} \sin{\left(7 x \right)}}{\cos{\left(7 x \right)}}\right) \left(9 \log{\left(\cos{\left(7 x \right)} \right)} \sin{\left(3 x \right)} + \frac{49 \sin{\left(3 x \right)} \sin^{2}{\left(7 x \right)}}{\cos^{2}{\left(7 x \right)}} + 49 \sin{\left(3 x \right)} + \frac{42 \sin{\left(7 x \right)} \cos{\left(3 x \right)}}{\cos{\left(7 x \right)}}\right) - 27 \log{\left(\cos{\left(7 x \right)} \right)} \cos{\left(3 x \right)} - \frac{686 \sin{\left(3 x \right)} \sin^{3}{\left(7 x \right)}}{\cos^{3}{\left(7 x \right)}} - \frac{497 \sin{\left(3 x \right)} \sin{\left(7 x \right)}}{\cos{\left(7 x \right)}} - \frac{441 \sin^{2}{\left(7 x \right)} \cos{\left(3 x \right)}}{\cos^{2}{\left(7 x \right)}} - 441 \cos{\left(3 x \right)}\right) \cos^{\sin{\left(3 x \right)}}{\left(7 x \right)}$$
Gráfico