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 x^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de (-2)/x^3
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Expresiones idénticas
- y=cosx^tgx
- y es igual a coseno de x en el grado tgx
- y=cosxtgx
Derivada de y=cosx^tgx
Solución
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 \ sin(x)*tan(x)\
cos (x)*|\1 + tan (x)/*log(cos(x)) - -------------|
\ cos(x) /
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} - \frac{\sin{\left(x \right)} \tan{\left(x \right)}}{\cos{\left(x \right)}}\right) \cos^{\tan{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 / 2 \ \
tan(x) |// 2 \ sin(x)*tan(x)\ sin (x)*tan(x) 2*\1 + tan (x)/*sin(x) / 2 \ |
cos (x)*||\1 + tan (x)/*log(cos(x)) - -------------| - tan(x) - -------------- - ---------------------- + 2*\1 + tan (x)/*log(cos(x))*tan(x)|
|\ cos(x) / 2 cos(x) |
\ cos (x) /
$$\left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} - \frac{\sin{\left(x \right)} \tan{\left(x \right)}}{\cos{\left(x \right)}}\right)^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} \tan{\left(x \right)} - \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} - \frac{\sin^{2}{\left(x \right)} \tan{\left(x \right)}}{\cos^{2}{\left(x \right)}} - \tan{\left(x \right)}\right) \cos^{\tan{\left(x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 / 2 / 2 \ \ 2 2 / 2 \ 3 / 2 \ \
tan(x) | // 2 \ sin(x)*tan(x)\ 2 // 2 \ sin(x)*tan(x)\ |sin (x)*tan(x) / 2 \ 2*\1 + tan (x)/*sin(x) | / 2 \ 3*sin (x)*\1 + tan (x)/ 2*sin(x)*tan(x) 2*sin (x)*tan(x) 2 / 2 \ 6*\1 + tan (x)/*sin(x)*tan(x)|
cos (x)*|-3 + |\1 + tan (x)/*log(cos(x)) - -------------| - 3*tan (x) - 3*|\1 + tan (x)/*log(cos(x)) - -------------|*|-------------- - 2*\1 + tan (x)/*log(cos(x))*tan(x) + ---------------------- + tan(x)| + 2*\1 + tan (x)/ *log(cos(x)) - ----------------------- - --------------- - ---------------- + 4*tan (x)*\1 + tan (x)/*log(cos(x)) - -----------------------------|
| \ cos(x) / \ cos(x) / | 2 cos(x) | 2 cos(x) 3 cos(x) |
\ \ cos (x) / cos (x) cos (x) /
$$\left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} - \frac{\sin{\left(x \right)} \tan{\left(x \right)}}{\cos{\left(x \right)}}\right)^{3} - 3 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} - \frac{\sin{\left(x \right)} \tan{\left(x \right)}}{\cos{\left(x \right)}}\right) \left(- 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)}}{\cos{\left(x \right)}} + \frac{\sin^{2}{\left(x \right)} \tan{\left(x \right)}}{\cos^{2}{\left(x \right)}} + \tan{\left(x \right)}\right) + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(\cos{\left(x \right)} \right)} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cos{\left(x \right)} \right)} \tan^{2}{\left(x \right)} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} - \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \right)} \tan{\left(x \right)}}{\cos{\left(x \right)}} - \frac{2 \sin^{3}{\left(x \right)} \tan{\left(x \right)}}{\cos^{3}{\left(x \right)}} - \frac{2 \sin{\left(x \right)} \tan{\left(x \right)}}{\cos{\left(x \right)}} - 3 \tan^{2}{\left(x \right)} - 3\right) \cos^{\tan{\left(x \right)}}{\left(x \right)}$$
Gráfico