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 6/x
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Derivada de e^(x/2)
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Derivada de (x-1)/(x+1)
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Derivada de -3/x
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Expresiones idénticas
- y=(cos5x)^(tg24x)
- y es igual a ( coseno de 5x) en el grado (tg24x)
- y=(cos5x)(tg24x)
- y=cos5xtg24x
- y=cos5x^tg24x
Derivada de y=(cos5x)^(tg24x)
Solución
Ha introducido
[src]
tan(24*x) cos (5*x)
$$\cos^{\tan{\left(24 x \right)}}{\left(5 x \right)}$$
cos(5*x)^tan(24*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(24*x) // 2 \ 5*sin(5*x)*tan(24*x)\
cos (5*x)*|\24 + 24*tan (24*x)/*log(cos(5*x)) - --------------------|
\ cos(5*x) /
$$\left(\left(24 \tan^{2}{\left(24 x \right)} + 24\right) \log{\left(\cos{\left(5 x \right)} \right)} - \frac{5 \sin{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos{\left(5 x \right)}}\right) \cos^{\tan{\left(24 x \right)}}{\left(5 x \right)}$$
Segunda derivada
[src]
/ 2 / 2 \ 2 \
tan(24*x) |/ / 2 \ 5*sin(5*x)*tan(24*x)\ 240*\1 + tan (24*x)/*sin(5*x) 25*sin (5*x)*tan(24*x) / 2 \ |
cos (5*x)*||24*\1 + tan (24*x)/*log(cos(5*x)) - --------------------| - 25*tan(24*x) - ----------------------------- - ---------------------- + 1152*\1 + tan (24*x)/*log(cos(5*x))*tan(24*x)|
|\ cos(5*x) / cos(5*x) 2 |
\ cos (5*x) /
$$\left(\left(24 \left(\tan^{2}{\left(24 x \right)} + 1\right) \log{\left(\cos{\left(5 x \right)} \right)} - \frac{5 \sin{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos{\left(5 x \right)}}\right)^{2} + 1152 \left(\tan^{2}{\left(24 x \right)} + 1\right) \log{\left(\cos{\left(5 x \right)} \right)} \tan{\left(24 x \right)} - \frac{240 \left(\tan^{2}{\left(24 x \right)} + 1\right) \sin{\left(5 x \right)}}{\cos{\left(5 x \right)}} - \frac{25 \sin^{2}{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos^{2}{\left(5 x \right)}} - 25 \tan{\left(24 x \right)}\right) \cos^{\tan{\left(24 x \right)}}{\left(5 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 / 2 \ \ 2 2 / 2 \ 3 / 2 \ \
tan(24*x) | / / 2 \ 5*sin(5*x)*tan(24*x)\ 2 / / 2 \ 5*sin(5*x)*tan(24*x)\ | / 2 \ 25*sin (5*x)*tan(24*x) 240*\1 + tan (24*x)/*sin(5*x)| / 2 \ 1800*sin (5*x)*\1 + tan (24*x)/ 250*sin(5*x)*tan(24*x) 250*sin (5*x)*tan(24*x) 2 / 2 \ 17280*\1 + tan (24*x)/*sin(5*x)*tan(24*x)|
cos (5*x)*|-1800 + |24*\1 + tan (24*x)/*log(cos(5*x)) - --------------------| - 1800*tan (24*x) - 3*|24*\1 + tan (24*x)/*log(cos(5*x)) - --------------------|*|25*tan(24*x) - 1152*\1 + tan (24*x)/*log(cos(5*x))*tan(24*x) + ---------------------- + -----------------------------| + 27648*\1 + tan (24*x)/ *log(cos(5*x)) - ------------------------------- - ---------------------- - ----------------------- + 55296*tan (24*x)*\1 + tan (24*x)/*log(cos(5*x)) - -----------------------------------------|
| \ cos(5*x) / \ cos(5*x) / | 2 cos(5*x) | 2 cos(5*x) 3 cos(5*x) |
\ \ cos (5*x) / cos (5*x) cos (5*x) /
$$\left(\left(24 \left(\tan^{2}{\left(24 x \right)} + 1\right) \log{\left(\cos{\left(5 x \right)} \right)} - \frac{5 \sin{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos{\left(5 x \right)}}\right)^{3} - 3 \left(24 \left(\tan^{2}{\left(24 x \right)} + 1\right) \log{\left(\cos{\left(5 x \right)} \right)} - \frac{5 \sin{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos{\left(5 x \right)}}\right) \left(- 1152 \left(\tan^{2}{\left(24 x \right)} + 1\right) \log{\left(\cos{\left(5 x \right)} \right)} \tan{\left(24 x \right)} + \frac{240 \left(\tan^{2}{\left(24 x \right)} + 1\right) \sin{\left(5 x \right)}}{\cos{\left(5 x \right)}} + \frac{25 \sin^{2}{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos^{2}{\left(5 x \right)}} + 25 \tan{\left(24 x \right)}\right) + 27648 \left(\tan^{2}{\left(24 x \right)} + 1\right)^{2} \log{\left(\cos{\left(5 x \right)} \right)} + 55296 \left(\tan^{2}{\left(24 x \right)} + 1\right) \log{\left(\cos{\left(5 x \right)} \right)} \tan^{2}{\left(24 x \right)} - \frac{1800 \left(\tan^{2}{\left(24 x \right)} + 1\right) \sin^{2}{\left(5 x \right)}}{\cos^{2}{\left(5 x \right)}} - \frac{17280 \left(\tan^{2}{\left(24 x \right)} + 1\right) \sin{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos{\left(5 x \right)}} - \frac{250 \sin^{3}{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos^{3}{\left(5 x \right)}} - \frac{250 \sin{\left(5 x \right)} \tan{\left(24 x \right)}}{\cos{\left(5 x \right)}} - 1800 \tan^{2}{\left(24 x \right)} - 1800\right) \cos^{\tan{\left(24 x \right)}}{\left(5 x \right)}$$
Gráfico