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 e^x*sin(x)
- Derivada de x!
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Derivada de e^x*x^3
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Derivada de e^x/x^2
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Expresiones idénticas
- y=(cos6x)^tg(x)
- y es igual a ( coseno de 6x) en el grado tg(x)
- y=(cos6x)tg(x)
- y=cos6xtgx
- y=cos6x^tgx
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Expresiones con funciones
- tg
- tgx-ctgx
- tg(x)/x^2
- tg^2(3x)
- tg(cosx)
Derivada de y=(cos6x)^tg(x)
Solución
Ha introducido
[src]
tan(x) cos (6*x)
$$\cos^{\tan{\left(x \right)}}{\left(6 x \right)}$$
cos(6*x)^tan(x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
tan(x) // 2 \ 6*sin(6*x)*tan(x)\
cos (6*x)*|\1 + tan (x)/*log(cos(6*x)) - -----------------|
\ cos(6*x) /
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(6 x \right)} \right)} - \frac{6 \sin{\left(6 x \right)} \tan{\left(x \right)}}{\cos{\left(6 x \right)}}\right) \cos^{\tan{\left(x \right)}}{\left(6 x \right)}$$
Segunda derivada
[src]
/ 2 2 / 2 \ \
tan(x) |// 2 \ 6*sin(6*x)*tan(x)\ 36*sin (6*x)*tan(x) 12*\1 + tan (x)/*sin(6*x) / 2 \ |
cos (6*x)*||\1 + tan (x)/*log(cos(6*x)) - -----------------| - 36*tan(x) - ------------------- - ------------------------- + 2*\1 + tan (x)/*log(cos(6*x))*tan(x)|
|\ cos(6*x) / 2 cos(6*x) |
\ cos (6*x) /
$$\left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(6 x \right)} \right)} - \frac{6 \sin{\left(6 x \right)} \tan{\left(x \right)}}{\cos{\left(6 x \right)}}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(6 x \right)} \right)} \tan{\left(x \right)} - \frac{12 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(6 x \right)}}{\cos{\left(6 x \right)}} - \frac{36 \sin^{2}{\left(6 x \right)} \tan{\left(x \right)}}{\cos^{2}{\left(6 x \right)}} - 36 \tan{\left(x \right)}\right) \cos^{\tan{\left(x \right)}}{\left(6 x \right)}$$
Tercera derivada
[src]
/ 3 / / 2 \ 2 \ 2 3 2 / 2 \ / 2 \ \
tan(x) | // 2 \ 6*sin(6*x)*tan(x)\ 2 // 2 \ 6*sin(6*x)*tan(x)\ | / 2 \ 6*\1 + tan (x)/*sin(6*x) 18*sin (6*x)*tan(x)| / 2 \ 432*sin(6*x)*tan(x) 432*sin (6*x)*tan(x) 108*sin (6*x)*\1 + tan (x)/ 2 / 2 \ 36*\1 + tan (x)/*sin(6*x)*tan(x)|
cos (6*x)*|-108 + |\1 + tan (x)/*log(cos(6*x)) - -----------------| - 108*tan (x) - 6*|\1 + tan (x)/*log(cos(6*x)) - -----------------|*|18*tan(x) - \1 + tan (x)/*log(cos(6*x))*tan(x) + ------------------------ + -------------------| + 2*\1 + tan (x)/ *log(cos(6*x)) - ------------------- - -------------------- - --------------------------- + 4*tan (x)*\1 + tan (x)/*log(cos(6*x)) - --------------------------------|
| \ cos(6*x) / \ cos(6*x) / | cos(6*x) 2 | cos(6*x) 3 2 cos(6*x) |
\ \ cos (6*x) / cos (6*x) cos (6*x) /
$$\left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(6 x \right)} \right)} - \frac{6 \sin{\left(6 x \right)} \tan{\left(x \right)}}{\cos{\left(6 x \right)}}\right)^{3} - 6 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(6 x \right)} \right)} - \frac{6 \sin{\left(6 x \right)} \tan{\left(x \right)}}{\cos{\left(6 x \right)}}\right) \left(- \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(6 x \right)} \right)} \tan{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(6 x \right)}}{\cos{\left(6 x \right)}} + \frac{18 \sin^{2}{\left(6 x \right)} \tan{\left(x \right)}}{\cos^{2}{\left(6 x \right)}} + 18 \tan{\left(x \right)}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\cos{\left(6 x \right)} \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(6 x \right)} \right)} \tan^{2}{\left(x \right)} - \frac{108 \left(\tan^{2}{\left(x \right)} + 1\right) \sin^{2}{\left(6 x \right)}}{\cos^{2}{\left(6 x \right)}} - \frac{36 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(6 x \right)} \tan{\left(x \right)}}{\cos{\left(6 x \right)}} - \frac{432 \sin^{3}{\left(6 x \right)} \tan{\left(x \right)}}{\cos^{3}{\left(6 x \right)}} - \frac{432 \sin{\left(6 x \right)} \tan{\left(x \right)}}{\cos{\left(6 x \right)}} - 108 \tan^{2}{\left(x \right)} - 108\right) \cos^{\tan{\left(x \right)}}{\left(6 x \right)}$$
Gráfico