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 (60-x)*e^(x+60)
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Derivada de 5*x/(x+1)
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Derivada de 5x^8-8x+1
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Derivada de (4+x^4)*atan(x^1+4/x)/x^3
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Expresiones idénticas
- y=(ctg(x))^(sin(dos ·x))
- y es igual a (ctg(x)) en el grado ( seno de (2·x))
- y es igual a (ctg(x)) en el grado ( seno de (dos ·x))
- y=(ctg(x))(sin(2·x))
- y=ctgxsin2·x
- y=ctgx^sin2·x
Derivada de y=(ctg(x))^(sin(2·x))
Solución
Ha introducido
[src]
sin(2*x) cot (x)
$$\cot^{\sin{\left(2 x \right)}}{\left(x \right)}$$
cot(x)^sin(2*x)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
sin(2*x) | \-1 - cot (x)/*sin(2*x)|
cot (x)*|2*cos(2*x)*log(cot(x)) + -----------------------|
\ cot(x) /
$$\left(\frac{\left(- \cot^{2}{\left(x \right)} - 1\right) \sin{\left(2 x \right)}}{\cot{\left(x \right)}} + 2 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(2 x \right)}\right) \cot^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
sin(2*x) || \1 + cot (x)/*sin(2*x)| / 2 \ \1 + cot (x)/ *sin(2*x) 4*\1 + cot (x)/*cos(2*x)|
cot (x)*||-2*cos(2*x)*log(cot(x)) + ----------------------| - 4*log(cot(x))*sin(2*x) + 2*\1 + cot (x)/*sin(2*x) - ----------------------- - ------------------------|
|\ cot(x) / 2 cot(x) |
\ cot (x) /
$$\left(\left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(2 x \right)}}{\cot{\left(x \right)}} - 2 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(2 x \right)}\right)^{2} - \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2} \sin{\left(2 x \right)}}{\cot^{2}{\left(x \right)}} + 2 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(2 x \right)} - \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right) \cos{\left(2 x \right)}}{\cot{\left(x \right)}} - 4 \log{\left(\cot{\left(x \right)} \right)} \sin{\left(2 x \right)}\right) \cot^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 2 \
| / / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
sin(2*x) | | \1 + cot (x)/*sin(2*x)| | \1 + cot (x)/*sin(2*x)| | / 2 \ \1 + cot (x)/ *sin(2*x) 4*\1 + cot (x)/*cos(2*x)| / 2 \ 6*\1 + cot (x)/ *cos(2*x) / 2 \ 2*\1 + cot (x)/ *sin(2*x) 4*\1 + cot (x)/ *sin(2*x) 12*\1 + cot (x)/*sin(2*x)|
cot (x)*|- |-2*cos(2*x)*log(cot(x)) + ----------------------| - 8*cos(2*x)*log(cot(x)) + 3*|-2*cos(2*x)*log(cot(x)) + ----------------------|*|- 2*\1 + cot (x)/*sin(2*x) + 4*log(cot(x))*sin(2*x) + ----------------------- + ------------------------| + 12*\1 + cot (x)/*cos(2*x) - ------------------------- - 4*\1 + cot (x)/*cot(x)*sin(2*x) - ------------------------- + ------------------------- + -------------------------|
| \ cot(x) / \ cot(x) / | 2 cot(x) | 2 3 cot(x) cot(x) |
\ \ cot (x) / cot (x) cot (x) /
$$\left(- \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(2 x \right)}}{\cot{\left(x \right)}} - 2 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(2 x \right)}\right)^{3} + 3 \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(2 x \right)}}{\cot{\left(x \right)}} - 2 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(2 x \right)}\right) \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2} \sin{\left(2 x \right)}}{\cot^{2}{\left(x \right)}} - 2 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(2 x \right)} + \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right) \cos{\left(2 x \right)}}{\cot{\left(x \right)}} + 4 \log{\left(\cot{\left(x \right)} \right)} \sin{\left(2 x \right)}\right) - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{3} \sin{\left(2 x \right)}}{\cot^{3}{\left(x \right)}} + \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \sin{\left(2 x \right)}}{\cot{\left(x \right)}} - \frac{6 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \cos{\left(2 x \right)}}{\cot^{2}{\left(x \right)}} - 4 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(2 x \right)} \cot{\left(x \right)} + \frac{12 \left(\cot^{2}{\left(x \right)} + 1\right) \sin{\left(2 x \right)}}{\cot{\left(x \right)}} + 12 \left(\cot^{2}{\left(x \right)} + 1\right) \cos{\left(2 x \right)} - 8 \log{\left(\cot{\left(x \right)} \right)} \cos{\left(2 x \right)}\right) \cot^{\sin{\left(2 x \right)}}{\left(x \right)}$$
Gráfico