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 2^(5*x)
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Derivada de x^(5*x)
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Derivada de x^-(4/5)
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Expresiones idénticas
- y=(ctg2x)^lg3x
- y es igual a (ctg2x) en el grado lg3x
- y=(ctg2x)lg3x
- y=ctg2xlg3x
- y=ctg2x^lg3x
Derivada de y=(ctg2x)^lg3x
Solución
Ha introducido
[src]
log(3*x) cot (2*x)
$$\cot^{\log{\left(3 x \right)}}{\left(2 x \right)}$$
cot(2*x)^log(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 \ \
log(3*x) |log(cot(2*x)) \-2 - 2*cot (2*x)/*log(3*x)|
cot (2*x)*|------------- + ---------------------------|
\ x cot(2*x) /
$$\left(\frac{\left(- 2 \cot^{2}{\left(2 x \right)} - 2\right) \log{\left(3 x \right)}}{\cot{\left(2 x \right)}} + \frac{\log{\left(\cot{\left(2 x \right)} \right)}}{x}\right) \cot^{\log{\left(3 x \right)}}{\left(2 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
log(3*x) || log(cot(2*x)) 2*\1 + cot (2*x)/*log(3*x)| log(cot(2*x)) / 2 \ 4*\1 + cot (2*x)/ 4*\1 + cot (2*x)/ *log(3*x)|
cot (2*x)*||- ------------- + --------------------------| - ------------- + 8*\1 + cot (2*x)/*log(3*x) - ----------------- - ---------------------------|
|\ x cot(2*x) / 2 x*cot(2*x) 2 |
\ x cot (2*x) /
$$\left(\left(\frac{2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(3 x \right)}}{\cot{\left(2 x \right)}} - \frac{\log{\left(\cot{\left(2 x \right)} \right)}}{x}\right)^{2} - \frac{4 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(3 x \right)}}{\cot^{2}{\left(2 x \right)}} + 8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(3 x \right)} - \frac{4 \left(\cot^{2}{\left(2 x \right)} + 1\right)}{x \cot{\left(2 x \right)}} - \frac{\log{\left(\cot{\left(2 x \right)} \right)}}{x^{2}}\right) \cot^{\log{\left(3 x \right)}}{\left(2 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 3 2 2 \
| / / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ |
log(3*x) | | log(cot(2*x)) 2*\1 + cot (2*x)/*log(3*x)| 2*log(cot(2*x)) | log(cot(2*x)) 2*\1 + cot (2*x)/*log(3*x)| |log(cot(2*x)) / 2 \ 4*\1 + cot (2*x)/ 4*\1 + cot (2*x)/ *log(3*x)| 24*\1 + cot (2*x)/ / 2 \ 16*\1 + cot (2*x)/ *log(3*x) 12*\1 + cot (2*x)/ 6*\1 + cot (2*x)/ 32*\1 + cot (2*x)/ *log(3*x)|
cot (2*x)*|- |- ------------- + --------------------------| + --------------- + 3*|- ------------- + --------------------------|*|------------- - 8*\1 + cot (2*x)/*log(3*x) + ----------------- + ---------------------------| + ------------------ - 32*\1 + cot (2*x)/*cot(2*x)*log(3*x) - ---------------------------- - ------------------- + ----------------- + ----------------------------|
| \ x cot(2*x) / 3 \ x cot(2*x) / | 2 x*cot(2*x) 2 | x 3 2 2 cot(2*x) |
\ x \ x cot (2*x) / cot (2*x) x*cot (2*x) x *cot(2*x) /
$$\left(- \left(\frac{2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(3 x \right)}}{\cot{\left(2 x \right)}} - \frac{\log{\left(\cot{\left(2 x \right)} \right)}}{x}\right)^{3} + 3 \left(\frac{2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(3 x \right)}}{\cot{\left(2 x \right)}} - \frac{\log{\left(\cot{\left(2 x \right)} \right)}}{x}\right) \left(\frac{4 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(3 x \right)}}{\cot^{2}{\left(2 x \right)}} - 8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(3 x \right)} + \frac{4 \left(\cot^{2}{\left(2 x \right)} + 1\right)}{x \cot{\left(2 x \right)}} + \frac{\log{\left(\cot{\left(2 x \right)} \right)}}{x^{2}}\right) - \frac{16 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{3} \log{\left(3 x \right)}}{\cot^{3}{\left(2 x \right)}} + \frac{32 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(3 x \right)}}{\cot{\left(2 x \right)}} - 32 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(3 x \right)} \cot{\left(2 x \right)} - \frac{12 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2}}{x \cot^{2}{\left(2 x \right)}} + \frac{24 \left(\cot^{2}{\left(2 x \right)} + 1\right)}{x} + \frac{6 \left(\cot^{2}{\left(2 x \right)} + 1\right)}{x^{2} \cot{\left(2 x \right)}} + \frac{2 \log{\left(\cot{\left(2 x \right)} \right)}}{x^{3}}\right) \cot^{\log{\left(3 x \right)}}{\left(2 x \right)}$$
Gráfico