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 sin(x/2)
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Derivada de 3/x
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Derivada de x*e^(2*x)
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Derivada de -e^-x
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Expresiones idénticas
- y=(ctg4x)^x
- y es igual a (ctg4x) en el grado x
- y=(ctg4x)x
- y=ctg4xx
- y=ctg4x^x
Derivada de y=(ctg4x)^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*\-4 - 4*cot (4*x)/ |
cot (4*x)*|-------------------- + log(cot(4*x))|
\ cot(4*x) /
$$\left(\frac{x \left(- 4 \cot^{2}{\left(4 x \right)} - 4\right)}{\cot{\left(4 x \right)}} + \log{\left(\cot{\left(4 x \right)} \right)}\right) \cot^{x}{\left(4 x \right)}$$
Segunda derivada
[src]
/ 2 \
|/ / 2 \\ / / 2 \\|
x || 4*x*\1 + cot (4*x)/| / 2 \ | 1 2*x*\1 + cot (4*x)/||
cot (4*x)*||-log(cot(4*x)) + -------------------| - 8*\1 + cot (4*x)/*|-------- - 4*x + -------------------||
|\ cot(4*x) / |cot(4*x) 2 ||
\ \ cot (4*x) //
$$\left(\left(\frac{4 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} - \log{\left(\cot{\left(4 x \right)} \right)}\right)^{2} - 8 \left(\cot^{2}{\left(4 x \right)} + 1\right) \left(\frac{2 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot^{2}{\left(4 x \right)}} - 4 x + \frac{1}{\cot{\left(4 x \right)}}\right)\right) \cot^{x}{\left(4 x \right)}$$
Tercera derivada
[src]
/ 3 2 3 2\
| / / 2 \\ / 2 \ / 2 \ / / 2 \\ / / 2 \\ / 2 \ |
x | | 4*x*\1 + cot (4*x)/| 2 48*\1 + cot (4*x)/ / 2 \ 128*x*\1 + cot (4*x)/ / 2 \ | 4*x*\1 + cot (4*x)/| | 1 2*x*\1 + cot (4*x)/| 256*x*\1 + cot (4*x)/ |
cot (4*x)*|96 - |-log(cot(4*x)) + -------------------| + 96*cot (4*x) - ------------------- - 256*x*\1 + cot (4*x)/*cot(4*x) - ---------------------- + 24*\1 + cot (4*x)/*|-log(cot(4*x)) + -------------------|*|-------- - 4*x + -------------------| + ----------------------|
| \ cot(4*x) / 2 3 \ cot(4*x) / |cot(4*x) 2 | cot(4*x) |
\ cot (4*x) cot (4*x) \ cot (4*x) / /
$$\left(- \frac{128 x \left(\cot^{2}{\left(4 x \right)} + 1\right)^{3}}{\cot^{3}{\left(4 x \right)}} + \frac{256 x \left(\cot^{2}{\left(4 x \right)} + 1\right)^{2}}{\cot{\left(4 x \right)}} - 256 x \left(\cot^{2}{\left(4 x \right)} + 1\right) \cot{\left(4 x \right)} - \left(\frac{4 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} - \log{\left(\cot{\left(4 x \right)} \right)}\right)^{3} + 24 \left(\frac{4 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot{\left(4 x \right)}} - \log{\left(\cot{\left(4 x \right)} \right)}\right) \left(\cot^{2}{\left(4 x \right)} + 1\right) \left(\frac{2 x \left(\cot^{2}{\left(4 x \right)} + 1\right)}{\cot^{2}{\left(4 x \right)}} - 4 x + \frac{1}{\cot{\left(4 x \right)}}\right) - \frac{48 \left(\cot^{2}{\left(4 x \right)} + 1\right)^{2}}{\cot^{2}{\left(4 x \right)}} + 96 \cot^{2}{\left(4 x \right)} + 96\right) \cot^{x}{\left(4 x \right)}$$
Gráfico