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^(3*x)
-
Derivada de x+4
-
Derivada de x*atan(x)
-
Derivada de 9/x
-
Expresiones idénticas
- y=ctg(x)^x^ cuatro
- y es igual a ctg(x) en el grado x en el grado 4
- y es igual a ctg(x) en el grado x en el grado cuatro
- y=ctg(x)x4
- y=ctgxx4
- y=ctg(x)^x⁴
- y=ctgx^x^4
-
Expresiones con funciones
- ctg
- ctg^2(3x)
- ctg
- ctg(x/3)
- ctg(x-2)
- ctg^4x
Derivada de y=ctg(x)^x^4
Solución
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ 4\ / 4 / 2 \\
\x / | 3 x *\-1 - cot (x)/|
(cot(x)) *|4*x *log(cot(x)) + -----------------|
\ cot(x) /
$$\left(\frac{x^{4} \left(- \cot^{2}{\left(x \right)} - 1\right)}{\cot{\left(x \right)}} + 4 x^{3} \log{\left(\cot{\left(x \right)} \right)}\right) \cot^{x^{4}}{\left(x \right)}$$
Segunda derivada
[src]
/ 2 2 \
/ 4\ | / / 2 \\ 2 / 2 \ / 2 \|
2 \x / | 4 | x*\1 + cot (x)/| 2 / 2 \ x *\1 + cot (x)/ 8*x*\1 + cot (x)/|
x *(cot(x)) *|12*log(cot(x)) + x *|-4*log(cot(x)) + ---------------| + 2*x *\1 + cot (x)/ - ----------------- - -----------------|
| \ cot(x) / 2 cot(x) |
\ cot (x) /
$$x^{2} \left(x^{4} \left(\frac{x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} - 4 \log{\left(\cot{\left(x \right)} \right)}\right)^{2} - \frac{x^{2} \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} + 2 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) - \frac{8 x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} + 12 \log{\left(\cot{\left(x \right)} \right)}\right) \cot^{x^{4}}{\left(x \right)}$$
Tercera derivada
[src]
/ 3 2 3 / 2 \ 2\
/ 4\ | / / 2 \\ / 2 \ 2 / 2 \ 3 / 2 \ / / 2 \\ | 2 / 2 \ / 2 \| 3 / 2 \ |
\x / | 8 | x*\1 + cot (x)/| 2 / 2 \ 36*x*\1 + cot (x)/ 12*x *\1 + cot (x)/ 3 / 2 \ 2*x *\1 + cot (x)/ 4 | x*\1 + cot (x)/| | 2 / 2 \ x *\1 + cot (x)/ 8*x*\1 + cot (x)/| 4*x *\1 + cot (x)/ |
x*(cot(x)) *|24*log(cot(x)) - x *|-4*log(cot(x)) + ---------------| + 24*x *\1 + cot (x)/ - ------------------ - -------------------- - 4*x *\1 + cot (x)/*cot(x) - ------------------- + 3*x *|-4*log(cot(x)) + ---------------|*|-12*log(cot(x)) - 2*x *\1 + cot (x)/ + ----------------- + -----------------| + -------------------|
| \ cot(x) / cot(x) 2 3 \ cot(x) / | 2 cot(x) | cot(x) |
\ cot (x) cot (x) \ cot (x) / /
$$x \left(- x^{8} \left(\frac{x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} - 4 \log{\left(\cot{\left(x \right)} \right)}\right)^{3} + 3 x^{4} \left(\frac{x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} - 4 \log{\left(\cot{\left(x \right)} \right)}\right) \left(\frac{x^{2} \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} - 2 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) + \frac{8 x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} - 12 \log{\left(\cot{\left(x \right)} \right)}\right) - \frac{2 x^{3} \left(\cot^{2}{\left(x \right)} + 1\right)^{3}}{\cot^{3}{\left(x \right)}} + \frac{4 x^{3} \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot{\left(x \right)}} - 4 x^{3} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)} - \frac{12 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right)^{2}}{\cot^{2}{\left(x \right)}} + 24 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) - \frac{36 x \left(\cot^{2}{\left(x \right)} + 1\right)}{\cot{\left(x \right)}} + 24 \log{\left(\cot{\left(x \right)} \right)}\right) \cot^{x^{4}}{\left(x \right)}$$