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 1/(x+3)
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Derivada de 4*y
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Derivada de (2x-7)^8
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Derivada de (-1)/x-3*x
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Expresiones idénticas
- (ctgx)^x
- (ctgx) en el grado x
- (ctgx)x
- ctgxx
- ctgx^x
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Expresiones semejantes
- y=(ctgx)^x^(2)
- y=(ctgx)^x-5
- y=(ctgx)^x
- y=(ctgx)^x^2
Derivada de (ctgx)^x
Solución
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
x |x*\-1 - cot (x)/ |
cot (x)*|---------------- + log(cot(x))|
\ cot(x) /
$$\left(\frac{x \left(- \cot^{2}{\left(x \right)} - 1\right)}{\cot{\left(x \right)}} + \log{\left(\cot{\left(x \right)} \right)}\right) \cot^{x}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 \
|/ / 2 \\ / / 2 \\|
x || x*\1 + cot (x)/| / 2 \ | 2 x*\1 + cot (x)/||
cot (x)*||-log(cot(x)) + ---------------| - \1 + cot (x)/*|-2*x + ------ + ---------------||
|\ cot(x) / | cot(x) 2 ||
\ \ cot (x) //
$$\left(\left(\frac{x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} - \log{\left(\cot{\left(x \right)} \right)}\right)^{2} - \left(\cot^{2}{\left(x \right)} + 1\right) \left(\frac{x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot^{2}{\left(x \right)}} - 2 x + \frac{2}{\cot{\left(x \right)}}\right)\right) \cot^{x}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 3 2\
| / / 2 \\ / 2 \ / 2 \ / / 2 \\ / / 2 \\ / 2 \ |
x | | x*\1 + cot (x)/| 2 3*\1 + cot (x)/ / 2 \ 2*x*\1 + cot (x)/ / 2 \ | x*\1 + cot (x)/| | 2 x*\1 + cot (x)/| 4*x*\1 + cot (x)/ |
cot (x)*|6 - |-log(cot(x)) + ---------------| + 6*cot (x) - ---------------- - 4*x*\1 + cot (x)/*cot(x) - ------------------ + 3*\1 + cot (x)/*|-log(cot(x)) + ---------------|*|-2*x + ------ + ---------------| + ------------------|
| \ cot(x) / 2 3 \ cot(x) / | cot(x) 2 | cot(x) |
\ cot (x) cot (x) \ cot (x) / /
$$\left(- \frac{2 x \left(\cot^{2}{\left(x \right)} + 1\right)^{3}}{\cot^{3}{\left(x \right)}} + \frac{4 x \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot{\left(x \right)}} - 4 x \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} - \left(\frac{x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} - \log{\left(\cot{\left(x \right)} \right)}\right)^{3} + 3 \left(\frac{x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} - \log{\left(\cot{\left(x \right)} \right)}\right) \left(\cot^{2}{\left(x \right)} + 1\right) \left(\frac{x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot^{2}{\left(x \right)}} - 2 x + \frac{2}{\cot{\left(x \right)}}\right) - \frac{3 \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} + 6 \cot^{2}{\left(x \right)} + 6\right) \cot^{x}{\left(x \right)}$$
Gráfico