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 2*cos(3*x)
-
Derivada de x^(7/6)
-
Derivada de x^(2/5)
-
Derivada de 1/ln(x)
-
Expresiones idénticas
- y=(ctg)^(sec(x))
- y es igual a (ctg) en el grado (sec(x))
- y=(ctg)(sec(x))
- y=ctgsecx
- y=ctg^secx
-
Expresiones con funciones
- sec
- sec√(1-x²)
Derivada de y=(ctg)^(sec(x))
Solución
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
// 2 \ \
sec(x) |\-1 - cot (x)/*sec(x) |
cot (x)*|--------------------- + log(cot(x))*sec(x)*tan(x)|
\ cot(x) /
$$\left(\frac{\left(- \cot^{2}{\left(x \right)} - 1\right) \sec{\left(x \right)}}{\cot{\left(x \right)}} + \log{\left(\cot{\left(x \right)} \right)} \tan{\left(x \right)} \sec{\left(x \right)}\right) \cot^{\sec{\left(x \right)}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
| / 2 \ / 2 \ / 2 \ |
sec(x) | 2 |1 + cot (x) | 2 / 2 \ \1 + cot (x)/ 2*\1 + cot (x)/*tan(x)|
cot (x)*|2 + 2*cot (x) + |----------- - log(cot(x))*tan(x)| *sec(x) + tan (x)*log(cot(x)) + \1 + tan (x)/*log(cot(x)) - -------------- - ----------------------|*sec(x)
| \ cot(x) / 2 cot(x) |
\ cot (x) /
$$\left(\left(\frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}} - \log{\left(\cot{\left(x \right)} \right)} \tan{\left(x \right)}\right)^{2} \sec{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cot{\left(x \right)} \right)} - \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\cot{\left(x \right)}} + \log{\left(\cot{\left(x \right)} \right)} \tan^{2}{\left(x \right)} + 2 \cot^{2}{\left(x \right)} + 2\right) \cot^{\sec{\left(x \right)}}{\left(x \right)} \sec{\left(x \right)}$$
Tercera derivada
[src]
/ 3 3 2 2 / 2 \ \
| / 2 \ / 2 \ / 2 \ / 2 \ 2 / 2 \ / 2 \ / 2 \ / 2 \ | / 2 \ / 2 \ | |
sec(x) | 3 |1 + cot (x) | 2 / 2 \ 2*\1 + cot (x)/ 4*\1 + cot (x)/ / 2 \ 3*\1 + cot (x)/ *tan(x) 3*tan (x)*\1 + cot (x)/ 3*\1 + cot (x)/*\1 + tan (x)/ |1 + cot (x) | | 2 2 / 2 \ \1 + cot (x)/ 2*\1 + cot (x)/*tan(x)| / 2 \ |
cot (x)*|tan (x)*log(cot(x)) - |----------- - log(cot(x))*tan(x)| *sec (x) - 4*\1 + cot (x)/*cot(x) - ---------------- + ---------------- + 6*\1 + cot (x)/*tan(x) - ----------------------- - ----------------------- - ----------------------------- - 3*|----------- - log(cot(x))*tan(x)|*|2 + 2*cot (x) + tan (x)*log(cot(x)) + \1 + tan (x)/*log(cot(x)) - -------------- - ----------------------|*sec(x) + 5*\1 + tan (x)/*log(cot(x))*tan(x)|*sec(x)
| \ cot(x) / 3 cot(x) 2 cot(x) cot(x) \ cot(x) / | 2 cot(x) | |
\ cot (x) cot (x) \ cot (x) / /
$$\left(- \left(\frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}} - \log{\left(\cot{\left(x \right)} \right)} \tan{\left(x \right)}\right)^{3} \sec^{2}{\left(x \right)} - 3 \left(\frac{\cot^{2}{\left(x \right)} + 1}{\cot{\left(x \right)}} - \log{\left(\cot{\left(x \right)} \right)} \tan{\left(x \right)}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cot{\left(x \right)} \right)} - \frac{\left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\cot{\left(x \right)}} + \log{\left(\cot{\left(x \right)} \right)} \tan^{2}{\left(x \right)} + 2 \cot^{2}{\left(x \right)} + 2\right) \sec{\left(x \right)} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} + 5 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\cot{\left(x \right)} \right)} \tan{\left(x \right)} - \frac{2 \left(\cot^{2}{\left(x \right)} + 1\right)^{3}}{\cot^{3}{\left(x \right)}} - \frac{3 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)}}{\cot^{2}{\left(x \right)}} + \frac{4 \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot{\left(x \right)}} - \frac{3 \left(\cot^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\cot{\left(x \right)}} + 6 \left(\cot^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - 4 \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} + \log{\left(\cot{\left(x \right)} \right)} \tan^{3}{\left(x \right)}\right) \cot^{\sec{\left(x \right)}}{\left(x \right)} \sec{\left(x \right)}$$
Gráfico