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/t
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Derivada de f(x)=√x
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Expresiones idénticas
- y=(ctg2x)^sin3x
- y es igual a (ctg2x) en el grado seno de 3x
- y=(ctg2x)sin3x
- y=ctg2xsin3x
- y=ctg2x^sin3x
Derivada de y=(ctg2x)^sin3x
Solución
Ha introducido
[src]
sin(3*x) cot (2*x)
$$\cot^{\sin{\left(3 x \right)}}{\left(2 x \right)}$$
cot(2*x)^sin(3*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(3*x) | \-2 - 2*cot (2*x)/*sin(3*x)|
cot (2*x)*|3*cos(3*x)*log(cot(2*x)) + ---------------------------|
\ cot(2*x) /
$$\left(\frac{\left(- 2 \cot^{2}{\left(2 x \right)} - 2\right) \sin{\left(3 x \right)}}{\cot{\left(2 x \right)}} + 3 \log{\left(\cot{\left(2 x \right)} \right)} \cos{\left(3 x \right)}\right) \cot^{\sin{\left(3 x \right)}}{\left(2 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
sin(3*x) || 2*\1 + cot (2*x)/*sin(3*x)| / 2 \ 12*\1 + cot (2*x)/*cos(3*x) 4*\1 + cot (2*x)/ *sin(3*x)|
cot (2*x)*||-3*cos(3*x)*log(cot(2*x)) + --------------------------| - 9*log(cot(2*x))*sin(3*x) + 8*\1 + cot (2*x)/*sin(3*x) - --------------------------- - ---------------------------|
|\ cot(2*x) / cot(2*x) 2 |
\ cot (2*x) /
$$\left(\left(\frac{2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \sin{\left(3 x \right)}}{\cot{\left(2 x \right)}} - 3 \log{\left(\cot{\left(2 x \right)} \right)} \cos{\left(3 x \right)}\right)^{2} - \frac{4 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \sin{\left(3 x \right)}}{\cot^{2}{\left(2 x \right)}} + 8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \sin{\left(3 x \right)} - \frac{12 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cos{\left(3 x \right)}}{\cot{\left(2 x \right)}} - 9 \log{\left(\cot{\left(2 x \right)} \right)} \sin{\left(3 x \right)}\right) \cot^{\sin{\left(3 x \right)}}{\left(2 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 3 2 \
| / / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ |
sin(3*x) | | 2*\1 + cot (2*x)/*sin(3*x)| | 2*\1 + cot (2*x)/*sin(3*x)| | / 2 \ 4*\1 + cot (2*x)/ *sin(3*x) 12*\1 + cot (2*x)/*cos(3*x)| / 2 \ 36*\1 + cot (2*x)/ *cos(3*x) / 2 \ 16*\1 + cot (2*x)/ *sin(3*x) 32*\1 + cot (2*x)/ *sin(3*x) 54*\1 + cot (2*x)/*sin(3*x)|
cot (2*x)*|- |-3*cos(3*x)*log(cot(2*x)) + --------------------------| - 27*cos(3*x)*log(cot(2*x)) + 3*|-3*cos(3*x)*log(cot(2*x)) + --------------------------|*|- 8*\1 + cot (2*x)/*sin(3*x) + 9*log(cot(2*x))*sin(3*x) + --------------------------- + ---------------------------| + 72*\1 + cot (2*x)/*cos(3*x) - ---------------------------- - 32*\1 + cot (2*x)/*cot(2*x)*sin(3*x) - ---------------------------- + ---------------------------- + ---------------------------|
| \ cot(2*x) / \ cot(2*x) / | 2 cot(2*x) | 2 3 cot(2*x) cot(2*x) |
\ \ cot (2*x) / cot (2*x) cot (2*x) /
$$\left(- \left(\frac{2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \sin{\left(3 x \right)}}{\cot{\left(2 x \right)}} - 3 \log{\left(\cot{\left(2 x \right)} \right)} \cos{\left(3 x \right)}\right)^{3} + 3 \left(\frac{2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \sin{\left(3 x \right)}}{\cot{\left(2 x \right)}} - 3 \log{\left(\cot{\left(2 x \right)} \right)} \cos{\left(3 x \right)}\right) \left(\frac{4 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \sin{\left(3 x \right)}}{\cot^{2}{\left(2 x \right)}} - 8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \sin{\left(3 x \right)} + \frac{12 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cos{\left(3 x \right)}}{\cot{\left(2 x \right)}} + 9 \log{\left(\cot{\left(2 x \right)} \right)} \sin{\left(3 x \right)}\right) - \frac{16 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{3} \sin{\left(3 x \right)}}{\cot^{3}{\left(2 x \right)}} + \frac{32 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \sin{\left(3 x \right)}}{\cot{\left(2 x \right)}} - \frac{36 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \cos{\left(3 x \right)}}{\cot^{2}{\left(2 x \right)}} - 32 \left(\cot^{2}{\left(2 x \right)} + 1\right) \sin{\left(3 x \right)} \cot{\left(2 x \right)} + \frac{54 \left(\cot^{2}{\left(2 x \right)} + 1\right) \sin{\left(3 x \right)}}{\cot{\left(2 x \right)}} + 72 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cos{\left(3 x \right)} - 27 \log{\left(\cot{\left(2 x \right)} \right)} \cos{\left(3 x \right)}\right) \cot^{\sin{\left(3 x \right)}}{\left(2 x \right)}$$
Gráfico