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 x^-7
- Derivada de i*n*x
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Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de (-2)/x^3
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Expresiones idénticas
- y=(ctgx^ dos)^lnx
- y es igual a (ctgx al cuadrado ) en el grado lnx
- y es igual a (ctgx en el grado dos) en el grado lnx
- y=(ctgx2)lnx
- y=ctgx2lnx
- y=(ctgx²)^lnx
- y=(ctgx en el grado 2) en el grado lnx
- y=ctgx^2^lnx
Derivada de y=(ctgx^2)^lnx
Solución
Ha introducido
[src]
log(x) 2 cot (x)
$$\left(\cot^{2}{\left(x \right)}\right)^{\log{\left(x \right)}}$$
(cot(x)^2)^log(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 \ / 2 \ \
2*log(x) |log\cot (x)/ \-2 - 2*cot (x)/*log(x)|
|cot(x)| *|------------ + -----------------------|
\ x cot(x) /
$$\left(\frac{\left(- 2 \cot^{2}{\left(x \right)} - 2\right) \log{\left(x \right)}}{\cot{\left(x \right)}} + \frac{\log{\left(\cot^{2}{\left(x \right)} \right)}}{x}\right) \left|{\cot{\left(x \right)}}\right|^{2 \log{\left(x \right)}}$$
Segunda derivada
[src]
/ 2 \
| / 2 \ / / 2 \ / 2 \ \ / / 2 \ \ / 2 \ / 2 \ |
2*log(x) | log\cot (x)/ | log\cot (x)/ 2*\1 + cot (x)/*log(x)| | log(|cot(x)|) \1 + cot (x)/*log(x)*sign(cot(x))| / 2 \ 4*\1 + cot (x)/ 2*\1 + cot (x)/ *log(x)|
|cot(x)| *|- ------------ + 2*|- ------------ + ----------------------|*|- ------------- + ---------------------------------| + 4*\1 + cot (x)/*log(x) - --------------- - -----------------------|
| 2 \ x cot(x) / \ x |cot(x)| / x*cot(x) 2 |
\ x cot (x) /
$$\left(2 \left(\frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} - \frac{\log{\left(\cot^{2}{\left(x \right)} \right)}}{x}\right) \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \operatorname{sign}{\left(\cot{\left(x \right)} \right)}}{\left|{\cot{\left(x \right)}}\right|} - \frac{\log{\left(\left|{\cot{\left(x \right)}}\right| \right)}}{x}\right) - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)}}{\cot^{2}{\left(x \right)}} + 4 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} - \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right)}{x \cot{\left(x \right)}} - \frac{\log{\left(\cot^{2}{\left(x \right)} \right)}}{x^{2}}\right) \left|{\cot{\left(x \right)}}\right|^{2 \log{\left(x \right)}}$$
Tercera derivada
[src]
/ / 2 2 \ 2 / 2 \ 2 3 2 \
| / 2 \ / / 2 \ / 2 \ \ | / 2 \ 2 / 2 \ / 2 \ / 2 \ | / / 2 \ \ / / 2 \ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ / 2 \| / 2 \ / 2 \ / 2 \ / 2 \ / 2 \ |
2*log(x) |log\cot (x)/ | log\cot (x)/ 2*\1 + cot (x)/*log(x)| |log(|cot(x)|) \1 + cot (x)/ *sign (cot(x))*log(x) 2*\1 + cot (x)/ *DiracDelta(cot(x))*log(x) 2*\1 + cot (x)/*sign(cot(x)) 2*\1 + cot (x)/*cot(x)*log(x)*sign(cot(x))| | log(|cot(x)|) \1 + cot (x)/*log(x)*sign(cot(x))| | log\cot (x)/ 2*\1 + cot (x)/*log(x)| | log(|cot(x)|) \1 + cot (x)/*log(x)*sign(cot(x))| |log\cot (x)/ / 2 \ 2*\1 + cot (x)/ *log(x) 4*\1 + cot (x)/| 6*\1 + cot (x)/ / 2 \ 3*\1 + cot (x)/ 2*\1 + cot (x)/ *log(x) 3*\1 + cot (x)/ 4*\1 + cot (x)/ *log(x)|
2*|cot(x)| *|------------ + |- ------------ + ----------------------|*|------------- + ----------------------------------- - ------------------------------------------ + ---------------------------- - ------------------------------------------| - 2*|- ------------- + ---------------------------------| *|- ------------ + ----------------------| + 2*|- ------------- + ---------------------------------|*|------------ - 4*\1 + cot (x)/*log(x) + ----------------------- + ---------------| + --------------- - 4*\1 + cot (x)/*cot(x)*log(x) - ---------------- - ----------------------- + --------------- + -----------------------|
| 3 \ x cot(x) / | 2 2 |cot(x)| x*|cot(x)| |cot(x)| | \ x |cot(x)| / \ x cot(x) / \ x |cot(x)| / | 2 2 x*cot(x) | x 2 3 2 cot(x) |
\ x \ x cot (x) / \ x cot (x) / x*cot (x) cot (x) x *cot(x) /
$$2 \left(- 2 \left(\frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} - \frac{\log{\left(\cot^{2}{\left(x \right)} \right)}}{x}\right) \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \operatorname{sign}{\left(\cot{\left(x \right)} \right)}}{\left|{\cot{\left(x \right)}}\right|} - \frac{\log{\left(\left|{\cot{\left(x \right)}}\right| \right)}}{x}\right)^{2} + \left(\frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)}}{\cot{\left(x \right)}} - \frac{\log{\left(\cot^{2}{\left(x \right)} \right)}}{x}\right) \left(- \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} \delta\left(\cot{\left(x \right)}\right)}{\left|{\cot{\left(x \right)}}\right|} + \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)} \operatorname{sign}^{2}{\left(\cot{\left(x \right)} \right)}}{\cot^{2}{\left(x \right)}} - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \cot{\left(x \right)} \operatorname{sign}{\left(\cot{\left(x \right)} \right)}}{\left|{\cot{\left(x \right)}}\right|} + \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \operatorname{sign}{\left(\cot{\left(x \right)} \right)}}{x \left|{\cot{\left(x \right)}}\right|} + \frac{\log{\left(\left|{\cot{\left(x \right)}}\right| \right)}}{x^{2}}\right) + 2 \left(\frac{\left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \operatorname{sign}{\left(\cot{\left(x \right)} \right)}}{\left|{\cot{\left(x \right)}}\right|} - \frac{\log{\left(\left|{\cot{\left(x \right)}}\right| \right)}}{x}\right) \left(\frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)}}{\cot^{2}{\left(x \right)}} - 4 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} + \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right)}{x \cot{\left(x \right)}} + \frac{\log{\left(\cot^{2}{\left(x \right)} \right)}}{x^{2}}\right) - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{3} \log{\left(x \right)}}{\cot^{3}{\left(x \right)}} + \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x \right)}}{\cot{\left(x \right)}} - 4 \left(\cot^{2}{\left(x \right)} + 1\right) \log{\left(x \right)} \cot{\left(x \right)} - \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{3 \left(\cot^{2}{\left(x \right)} + 1\right)}{x^{2} \cot{\left(x \right)}} + \frac{\log{\left(\cot^{2}{\left(x \right)} \right)}}{x^{3}}\right) \left|{\cot{\left(x \right)}}\right|^{2 \log{\left(x \right)}}$$
Gráfico