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 e^x*sin(x)
- Derivada de x!
-
Derivada de e^x*x^3
-
Derivada de e^x/x^2
-
Expresiones idénticas
- y=(cos(9x))^tg6x
- y es igual a ( coseno de (9x)) en el grado tg6x
- y=(cos(9x))tg6x
- y=cos9xtg6x
- y=cos9x^tg6x
-
Expresiones con funciones
- Coseno cos
- cos(3)^(2)*x
- cos(5-3*x)
- cos/sin
- cos(7*x)
- cos(x+1)/2
Derivada de y=(cos(9x))^tg6x
Solución
Ha introducido
[src]
tan(6*x) cos (9*x)
$$\cos^{\tan{\left(6 x \right)}}{\left(9 x \right)}$$
cos(9*x)^tan(6*x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
tan(6*x) // 2 \ 9*sin(9*x)*tan(6*x)\
cos (9*x)*|\6 + 6*tan (6*x)/*log(cos(9*x)) - -------------------|
\ cos(9*x) /
$$\left(\left(6 \tan^{2}{\left(6 x \right)} + 6\right) \log{\left(\cos{\left(9 x \right)} \right)} - \frac{9 \sin{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos{\left(9 x \right)}}\right) \cos^{\tan{\left(6 x \right)}}{\left(9 x \right)}$$
Segunda derivada
[src]
/ 2 / 2 \ 2 \
tan(6*x) |/ / 2 \ 3*sin(9*x)*tan(6*x)\ 12*\1 + tan (6*x)/*sin(9*x) 9*sin (9*x)*tan(6*x) / 2 \ |
9*cos (9*x)*||2*\1 + tan (6*x)/*log(cos(9*x)) - -------------------| - 9*tan(6*x) - --------------------------- - -------------------- + 8*\1 + tan (6*x)/*log(cos(9*x))*tan(6*x)|
|\ cos(9*x) / cos(9*x) 2 |
\ cos (9*x) /
$$9 \left(\left(2 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(9 x \right)} \right)} - \frac{3 \sin{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos{\left(9 x \right)}}\right)^{2} + 8 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(9 x \right)} \right)} \tan{\left(6 x \right)} - \frac{12 \left(\tan^{2}{\left(6 x \right)} + 1\right) \sin{\left(9 x \right)}}{\cos{\left(9 x \right)}} - \frac{9 \sin^{2}{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos^{2}{\left(9 x \right)}} - 9 \tan{\left(6 x \right)}\right) \cos^{\tan{\left(6 x \right)}}{\left(9 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 / 2 \ \ 2 3 2 / 2 \ / 2 \ \
tan(6*x) | / / 2 \ 3*sin(9*x)*tan(6*x)\ 2 / / 2 \ 3*sin(9*x)*tan(6*x)\ | / 2 \ 9*sin (9*x)*tan(6*x) 12*\1 + tan (6*x)/*sin(9*x)| / 2 \ 54*sin(9*x)*tan(6*x) 54*sin (9*x)*tan(6*x) 54*sin (9*x)*\1 + tan (6*x)/ 2 / 2 \ 72*\1 + tan (6*x)/*sin(9*x)*tan(6*x)|
27*cos (9*x)*|-54 + |2*\1 + tan (6*x)/*log(cos(9*x)) - -------------------| - 54*tan (6*x) - 3*|2*\1 + tan (6*x)/*log(cos(9*x)) - -------------------|*|9*tan(6*x) - 8*\1 + tan (6*x)/*log(cos(9*x))*tan(6*x) + -------------------- + ---------------------------| + 16*\1 + tan (6*x)/ *log(cos(9*x)) - -------------------- - --------------------- - ---------------------------- + 32*tan (6*x)*\1 + tan (6*x)/*log(cos(9*x)) - ------------------------------------|
| \ cos(9*x) / \ cos(9*x) / | 2 cos(9*x) | cos(9*x) 3 2 cos(9*x) |
\ \ cos (9*x) / cos (9*x) cos (9*x) /
$$27 \left(\left(2 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(9 x \right)} \right)} - \frac{3 \sin{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos{\left(9 x \right)}}\right)^{3} - 3 \left(2 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(9 x \right)} \right)} - \frac{3 \sin{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos{\left(9 x \right)}}\right) \left(- 8 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(9 x \right)} \right)} \tan{\left(6 x \right)} + \frac{12 \left(\tan^{2}{\left(6 x \right)} + 1\right) \sin{\left(9 x \right)}}{\cos{\left(9 x \right)}} + \frac{9 \sin^{2}{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos^{2}{\left(9 x \right)}} + 9 \tan{\left(6 x \right)}\right) + 16 \left(\tan^{2}{\left(6 x \right)} + 1\right)^{2} \log{\left(\cos{\left(9 x \right)} \right)} + 32 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(9 x \right)} \right)} \tan^{2}{\left(6 x \right)} - \frac{54 \left(\tan^{2}{\left(6 x \right)} + 1\right) \sin^{2}{\left(9 x \right)}}{\cos^{2}{\left(9 x \right)}} - \frac{72 \left(\tan^{2}{\left(6 x \right)} + 1\right) \sin{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos{\left(9 x \right)}} - \frac{54 \sin^{3}{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos^{3}{\left(9 x \right)}} - \frac{54 \sin{\left(9 x \right)} \tan{\left(6 x \right)}}{\cos{\left(9 x \right)}} - 54 \tan^{2}{\left(6 x \right)} - 54\right) \cos^{\tan{\left(6 x \right)}}{\left(9 x \right)}$$
Gráfico