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 -5*tan(2*t)-4*cot(4*t)
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Derivada de (3*sqrt(v)-2*v*e^v)/v
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Derivada de 3^(x*x)
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Derivada de 2*x-8/x
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Expresiones idénticas
- y=(arctgx)^cosx
- y es igual a (arctgx) en el grado coseno de x
- y=(arctgx)cosx
- y=arctgxcosx
- y=arctgx^cosx
Derivada de y=(arctgx)^cosx
Solución
Ha introducido
[src]
cos(x) acot (x)
$$\operatorname{acot}^{\cos{\left(x \right)}}{\left(x \right)}$$
acot(x)^cos(x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
cos(x) / cos(x) \
acot (x)*|-log(acot(x))*sin(x) - ----------------|
| / 2\ |
\ \1 + x /*acot(x)/
$$\left(- \log{\left(\operatorname{acot}{\left(x \right)} \right)} \sin{\left(x \right)} - \frac{\cos{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}\right) \operatorname{acot}^{\cos{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 \
cos(x) |/ cos(x) \ cos(x) 2*sin(x) 2*x*cos(x) |
acot (x)*||log(acot(x))*sin(x) + ----------------| - cos(x)*log(acot(x)) - ------------------ + ---------------- + -----------------|
|| / 2\ | 2 / 2\ 2 |
|\ \1 + x /*acot(x)/ / 2\ 2 \1 + x /*acot(x) / 2\ |
\ \1 + x / *acot (x) \1 + x / *acot(x)/
$$\left(\frac{2 x \cos{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} + \left(\log{\left(\operatorname{acot}{\left(x \right)} \right)} \sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}\right)^{2} - \log{\left(\operatorname{acot}{\left(x \right)} \right)} \cos{\left(x \right)} + \frac{2 \sin{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} - \frac{\cos{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}^{2}{\left(x \right)}}\right) \operatorname{acot}^{\cos{\left(x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 \
cos(x) | / cos(x) \ / cos(x) \ / cos(x) 2*sin(x) 2*x*cos(x) \ 2*cos(x) 2*cos(x) 3*cos(x) 3*sin(x) 8*x *cos(x) 6*x*sin(x) 6*x*cos(x) |
acot (x)*|- |log(acot(x))*sin(x) + ----------------| + log(acot(x))*sin(x) - 3*|log(acot(x))*sin(x) + ----------------|*|-cos(x)*log(acot(x)) - ------------------ + ---------------- + -----------------| - ------------------ + ----------------- + ---------------- + ------------------ - ----------------- - ----------------- + ------------------|
| | / 2\ | | / 2\ | | 2 / 2\ 2 | 3 2 / 2\ 2 3 2 3 |
| \ \1 + x /*acot(x)/ \ \1 + x /*acot(x)/ | / 2\ 2 \1 + x /*acot(x) / 2\ | / 2\ 3 / 2\ \1 + x /*acot(x) / 2\ 2 / 2\ / 2\ / 2\ 2 |
\ \ \1 + x / *acot (x) \1 + x / *acot(x)/ \1 + x / *acot (x) \1 + x / *acot(x) \1 + x / *acot (x) \1 + x / *acot(x) \1 + x / *acot(x) \1 + x / *acot (x)/
$$\left(- \frac{8 x^{2} \cos{\left(x \right)}}{\left(x^{2} + 1\right)^{3} \operatorname{acot}{\left(x \right)}} - \frac{6 x \sin{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} + \frac{6 x \cos{\left(x \right)}}{\left(x^{2} + 1\right)^{3} \operatorname{acot}^{2}{\left(x \right)}} - \left(\log{\left(\operatorname{acot}{\left(x \right)} \right)} \sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}\right)^{3} - 3 \left(\log{\left(\operatorname{acot}{\left(x \right)} \right)} \sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}\right) \left(\frac{2 x \cos{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} - \log{\left(\operatorname{acot}{\left(x \right)} \right)} \cos{\left(x \right)} + \frac{2 \sin{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} - \frac{\cos{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}^{2}{\left(x \right)}}\right) + \log{\left(\operatorname{acot}{\left(x \right)} \right)} \sin{\left(x \right)} + \frac{3 \cos{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + \frac{3 \sin{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}^{2}{\left(x \right)}} + \frac{2 \cos{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} - \frac{2 \cos{\left(x \right)}}{\left(x^{2} + 1\right)^{3} \operatorname{acot}^{3}{\left(x \right)}}\right) \operatorname{acot}^{\cos{\left(x \right)}}{\left(x \right)}$$
Gráfico