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 log(cos(2*x))
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Derivada de (x^6-7)
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Derivada de sqrt(log(x))
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Derivada de sin(4x-1)
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Expresiones idénticas
- cot(x)^(uno /x)
- cotangente de (x) en el grado (1 dividir por x)
- cotangente de (x) en el grado (uno dividir por x)
- cot(x)(1/x)
- cotx1/x
- cotx^1/x
- cot(x)^(1 dividir por x)
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Expresiones con funciones
- Cotangente cot
- cot^2x
- cot√x
- cotgx
- cot4x
- cotu
Derivada de cot(x)^(1/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 ________ | log(cot(x)) -1 - cot (x)|
\/ cot(x) *|- ----------- + ------------|
| 2 x*cot(x) |
\ x /
$$\left(\frac{- \cot^{2}{\left(x \right)} - 1}{x \cot{\left(x \right)}} - \frac{\log{\left(\cot{\left(x \right)} \right)}}{x^{2}}\right) \cot^{\frac{1}{x}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 \
| / 2 \ |
| |log(cot(x)) 1 + cot (x)| 2 |
| |----------- + -----------| / 2 \ / 2 \|
x ________ | 2 \ x cot(x) / \1 + cot (x)/ 2*log(cot(x)) 2*\1 + cot (x)/|
\/ cot(x) *|2 + 2*cot (x) + ---------------------------- - -------------- + ------------- + ---------------|
| x 2 2 x*cot(x) |
\ cot (x) x /
------------------------------------------------------------------------------------------------------------
x
$$\frac{\left(- \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} + 2 \cot^{2}{\left(x \right)} + 2 + \frac{\left(\frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}} + \frac{\log{\left(\cot{\left(x \right)} \right)}}{x}\right)^{2}}{x} + \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)}{x \cot{\left(x \right)}} + \frac{2 \log{\left(\cot{\left(x \right)} \right)}}{x^{2}}\right) \cot^{\frac{1}{x}}{\left(x \right)}}{x}$$
Tercera derivada
[src]
/ / 2 \ \
| 3 / 2 \ | / 2 \ / 2 \| |
|/ 2 \ |log(cot(x)) 1 + cot (x)| | 2 \1 + cot (x)/ 2*log(cot(x)) 2*\1 + cot (x)/| |
||log(cot(x)) 1 + cot (x)| 2 3 2 3*|----------- + -----------|*|2 + 2*cot (x) - -------------- + ------------- + ---------------| |
||----------- + -----------| / 2 \ / 2 \ / 2 \ / 2 \ \ x cot(x) / | 2 2 x*cot(x) | / 2 \|
x ________ |\ x cot(x) / 4*\1 + cot (x)/ 2*\1 + cot (x)/ / 2 \ 6*\1 + cot (x)/ 6*log(cot(x)) 3*\1 + cot (x)/ \ cot (x) x / 6*\1 + cot (x)/|
-\/ cot(x) *|---------------------------- - ---------------- + ---------------- + 4*\1 + cot (x)/*cot(x) + --------------- + ------------- - ---------------- + ------------------------------------------------------------------------------------------------ + ---------------|
| 2 cot(x) 3 x 3 2 x 2 |
\ x cot (x) x x*cot (x) x *cot(x) /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
x
$$- \frac{\left(\frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{3}}{\cot^{3}{\left(x \right)}} - \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot{\left(x \right)}} + 4 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} + \frac{3 \left(\frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}} + \frac{\log{\left(\cot{\left(x \right)} \right)}}{x}\right) \left(- \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} + 2 \cot^{2}{\left(x \right)} + 2 + \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)}{x \cot{\left(x \right)}} + \frac{2 \log{\left(\cot{\left(x \right)} \right)}}{x^{2}}\right)}{x} - \frac{3 \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{x \cot^{2}{\left(x \right)}} + \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right)}{x} + \frac{\left(\frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}} + \frac{\log{\left(\cot{\left(x \right)} \right)}}{x}\right)^{3}}{x^{2}} + \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right)}{x^{2} \cot{\left(x \right)}} + \frac{6 \log{\left(\cot{\left(x \right)} \right)}}{x^{3}}\right) \cot^{\frac{1}{x}}{\left(x \right)}}{x}$$
Gráfico