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^-1
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Derivada de (x^2)'
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Derivada de y
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Derivada de (x^5+1)
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Expresiones idénticas
- y=(cos4x)^tg6x
- y es igual a ( coseno de 4x) en el grado tg6x
- y=(cos4x)tg6x
- y=cos4xtg6x
- y=cos4x^tg6x
Derivada de y=(cos4x)^tg6x
Solución
Ha introducido
[src]
tan(6*x) cos (4*x)
$$\cos^{\tan{\left(6 x \right)}}{\left(4 x \right)}$$
cos(4*x)^tan(6*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(6*x) // 2 \ 4*sin(4*x)*tan(6*x)\
cos (4*x)*|\6 + 6*tan (6*x)/*log(cos(4*x)) - -------------------|
\ cos(4*x) /
$$\left(\left(6 \tan^{2}{\left(6 x \right)} + 6\right) \log{\left(\cos{\left(4 x \right)} \right)} - \frac{4 \sin{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos{\left(4 x \right)}}\right) \cos^{\tan{\left(6 x \right)}}{\left(4 x \right)}$$
Segunda derivada
[src]
/ 2 / 2 \ 2 \
tan(6*x) |/ / 2 \ 2*sin(4*x)*tan(6*x)\ 12*\1 + tan (6*x)/*sin(4*x) 4*sin (4*x)*tan(6*x) / 2 \ |
4*cos (4*x)*||3*\1 + tan (6*x)/*log(cos(4*x)) - -------------------| - 4*tan(6*x) - --------------------------- - -------------------- + 18*\1 + tan (6*x)/*log(cos(4*x))*tan(6*x)|
|\ cos(4*x) / cos(4*x) 2 |
\ cos (4*x) /
$$4 \left(\left(3 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(4 x \right)} \right)} - \frac{2 \sin{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos{\left(4 x \right)}}\right)^{2} + 18 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(4 x \right)} \right)} \tan{\left(6 x \right)} - \frac{12 \left(\tan^{2}{\left(6 x \right)} + 1\right) \sin{\left(4 x \right)}}{\cos{\left(4 x \right)}} - \frac{4 \sin^{2}{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos^{2}{\left(4 x \right)}} - 4 \tan{\left(6 x \right)}\right) \cos^{\tan{\left(6 x \right)}}{\left(4 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 / 2 \ \ 2 2 / 2 \ 3 / 2 \ \
tan(6*x) | / / 2 \ 2*sin(4*x)*tan(6*x)\ 2 / / 2 \ 2*sin(4*x)*tan(6*x)\ | / 2 \ 2*sin (4*x)*tan(6*x) 6*\1 + tan (6*x)/*sin(4*x)| / 2 \ 36*sin (4*x)*\1 + tan (6*x)/ 16*sin(4*x)*tan(6*x) 16*sin (4*x)*tan(6*x) 2 / 2 \ 108*\1 + tan (6*x)/*sin(4*x)*tan(6*x)|
8*cos (4*x)*|-36 + |3*\1 + tan (6*x)/*log(cos(4*x)) - -------------------| - 36*tan (6*x) - 6*|3*\1 + tan (6*x)/*log(cos(4*x)) - -------------------|*|2*tan(6*x) - 9*\1 + tan (6*x)/*log(cos(4*x))*tan(6*x) + -------------------- + --------------------------| + 54*\1 + tan (6*x)/ *log(cos(4*x)) - ---------------------------- - -------------------- - --------------------- + 108*tan (6*x)*\1 + tan (6*x)/*log(cos(4*x)) - -------------------------------------|
| \ cos(4*x) / \ cos(4*x) / | 2 cos(4*x) | 2 cos(4*x) 3 cos(4*x) |
\ \ cos (4*x) / cos (4*x) cos (4*x) /
$$8 \left(\left(3 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(4 x \right)} \right)} - \frac{2 \sin{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos{\left(4 x \right)}}\right)^{3} - 6 \left(3 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(4 x \right)} \right)} - \frac{2 \sin{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos{\left(4 x \right)}}\right) \left(- 9 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(4 x \right)} \right)} \tan{\left(6 x \right)} + \frac{6 \left(\tan^{2}{\left(6 x \right)} + 1\right) \sin{\left(4 x \right)}}{\cos{\left(4 x \right)}} + \frac{2 \sin^{2}{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos^{2}{\left(4 x \right)}} + 2 \tan{\left(6 x \right)}\right) + 54 \left(\tan^{2}{\left(6 x \right)} + 1\right)^{2} \log{\left(\cos{\left(4 x \right)} \right)} + 108 \left(\tan^{2}{\left(6 x \right)} + 1\right) \log{\left(\cos{\left(4 x \right)} \right)} \tan^{2}{\left(6 x \right)} - \frac{36 \left(\tan^{2}{\left(6 x \right)} + 1\right) \sin^{2}{\left(4 x \right)}}{\cos^{2}{\left(4 x \right)}} - \frac{108 \left(\tan^{2}{\left(6 x \right)} + 1\right) \sin{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos{\left(4 x \right)}} - \frac{16 \sin^{3}{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos^{3}{\left(4 x \right)}} - \frac{16 \sin{\left(4 x \right)} \tan{\left(6 x \right)}}{\cos{\left(4 x \right)}} - 36 \tan^{2}{\left(6 x \right)} - 36\right) \cos^{\tan{\left(6 x \right)}}{\left(4 x \right)}$$
Gráfico