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
-
¿Cómo usar?
- Derivada de:
-
Derivada de x^-3
-
Derivada de x*2
-
Derivada de x^4*sin(x)
-
Derivada de tan(x)*sin(x)
-
Expresiones idénticas
- y=(ln(x+ siete))^ctg2x
- y es igual a (ln(x más 7)) en el grado ctg2x
- y es igual a (ln(x más siete)) en el grado ctg2x
- y=(ln(x+7))ctg2x
- y=lnx+7ctg2x
- y=lnx+7^ctg2x
-
Expresiones semejantes
- y=(ln(x-7))^ctg2x
-
Expresiones con funciones
- ln
- ln(1+x^2)
- ln^2
- ln(lnx)
- ln(1+x)
- ln(x+5)^5
Derivada de y=(ln(x+7))^ctg2x
Solución
Ha introducido
[src]
cot(2*x) log (x + 7)
$$\log{\left(x + 7 \right)}^{\cot{\left(2 x \right)}}$$
log(x + 7)^cot(2*x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
cot(2*x) // 2 \ cot(2*x) \
log (x + 7)*|\-2 - 2*cot (2*x)/*log(log(x + 7)) + ------------------|
\ (x + 7)*log(x + 7)/
$$\left(\left(- 2 \cot^{2}{\left(2 x \right)} - 2\right) \log{\left(\log{\left(x + 7 \right)} \right)} + \frac{\cot{\left(2 x \right)}}{\left(x + 7\right) \log{\left(x + 7 \right)}}\right) \log{\left(x + 7 \right)}^{\cot{\left(2 x \right)}}$$
Segunda derivada
[src]
/ 2 / 2 \ \
cot(2*x) |/ / 2 \ cot(2*x) \ cot(2*x) cot(2*x) 4*\1 + cot (2*x)/ / 2 \ |
log (7 + x)*||2*\1 + cot (2*x)/*log(log(7 + x)) - ------------------| - ------------------- - -------------------- - ------------------ + 8*\1 + cot (2*x)/*cot(2*x)*log(log(7 + x))|
|\ (7 + x)*log(7 + x)/ 2 2 2 (7 + x)*log(7 + x) |
\ (7 + x) *log(7 + x) (7 + x) *log (7 + x) /
$$\left(\left(2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(\log{\left(x + 7 \right)} \right)} - \frac{\cot{\left(2 x \right)}}{\left(x + 7\right) \log{\left(x + 7 \right)}}\right)^{2} + 8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(\log{\left(x + 7 \right)} \right)} \cot{\left(2 x \right)} - \frac{4 \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\left(x + 7\right) \log{\left(x + 7 \right)}} - \frac{\cot{\left(2 x \right)}}{\left(x + 7\right)^{2} \log{\left(x + 7 \right)}} - \frac{\cot{\left(2 x \right)}}{\left(x + 7\right)^{2} \log{\left(x + 7 \right)}^{2}}\right) \log{\left(x + 7 \right)}^{\cot{\left(2 x \right)}}$$
Tercera derivada
[src]
/ 3 2 / / 2 \ \ / 2 \ / 2 \ / 2 \ \
cot(2*x) | / / 2 \ cot(2*x) \ / 2 \ / / 2 \ cot(2*x) \ | cot(2*x) cot(2*x) / 2 \ 4*\1 + cot (2*x)/ | 2 / 2 \ 2*cot(2*x) 2*cot(2*x) 3*cot(2*x) 6*\1 + cot (2*x)/ 6*\1 + cot (2*x)/ 24*\1 + cot (2*x)/*cot(2*x)|
log (7 + x)*|- |2*\1 + cot (2*x)/*log(log(7 + x)) - ------------------| - 16*\1 + cot (2*x)/ *log(log(7 + x)) + 3*|2*\1 + cot (2*x)/*log(log(7 + x)) - ------------------|*|------------------- + -------------------- - 8*\1 + cot (2*x)/*cot(2*x)*log(log(7 + x)) + ------------------| - 32*cot (2*x)*\1 + cot (2*x)/*log(log(7 + x)) + ------------------- + -------------------- + -------------------- + ------------------- + -------------------- + ---------------------------|
| \ (7 + x)*log(7 + x)/ \ (7 + x)*log(7 + x)/ | 2 2 2 (7 + x)*log(7 + x)| 3 3 3 3 2 2 2 2 (7 + x)*log(7 + x) |
\ \(7 + x) *log(7 + x) (7 + x) *log (7 + x) / (7 + x) *log(7 + x) (7 + x) *log (7 + x) (7 + x) *log (7 + x) (7 + x) *log(7 + x) (7 + x) *log (7 + x) /
$$\left(- \left(2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(\log{\left(x + 7 \right)} \right)} - \frac{\cot{\left(2 x \right)}}{\left(x + 7\right) \log{\left(x + 7 \right)}}\right)^{3} + 3 \left(2 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(\log{\left(x + 7 \right)} \right)} - \frac{\cot{\left(2 x \right)}}{\left(x + 7\right) \log{\left(x + 7 \right)}}\right) \left(- 8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(\log{\left(x + 7 \right)} \right)} \cot{\left(2 x \right)} + \frac{4 \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\left(x + 7\right) \log{\left(x + 7 \right)}} + \frac{\cot{\left(2 x \right)}}{\left(x + 7\right)^{2} \log{\left(x + 7 \right)}} + \frac{\cot{\left(2 x \right)}}{\left(x + 7\right)^{2} \log{\left(x + 7 \right)}^{2}}\right) - 16 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(\log{\left(x + 7 \right)} \right)} - 32 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(\log{\left(x + 7 \right)} \right)} \cot^{2}{\left(2 x \right)} + \frac{24 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cot{\left(2 x \right)}}{\left(x + 7\right) \log{\left(x + 7 \right)}} + \frac{6 \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\left(x + 7\right)^{2} \log{\left(x + 7 \right)}} + \frac{6 \left(\cot^{2}{\left(2 x \right)} + 1\right)}{\left(x + 7\right)^{2} \log{\left(x + 7 \right)}^{2}} + \frac{2 \cot{\left(2 x \right)}}{\left(x + 7\right)^{3} \log{\left(x + 7 \right)}} + \frac{3 \cot{\left(2 x \right)}}{\left(x + 7\right)^{3} \log{\left(x + 7 \right)}^{2}} + \frac{2 \cot{\left(2 x \right)}}{\left(x + 7\right)^{3} \log{\left(x + 7 \right)}^{3}}\right) \log{\left(x + 7 \right)}^{\cot{\left(2 x \right)}}$$