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^4/3-x
-
Derivada de x^-4/5
-
Derivada de x=1
-
Derivada de x^2*2^x
-
Expresiones idénticas
- y=(ctg(3x))^arcsin(x)
- y es igual a (ctg(3x)) en el grado arc seno de (x)
- y=(ctg(3x))arcsin(x)
- y=ctg3xarcsinx
- y=ctg3x^arcsinx
-
Expresiones semejantes
- y=(ctg(3x))^arcsinx
Derivada de y=(ctg(3x))^arcsin(x)
Solución
Ha introducido
[src]
asin(x) cot (3*x)
$$\cot^{\operatorname{asin}{\left(x \right)}}{\left(3 x \right)}$$
cot(3*x)^asin(x)
Solución detallada
-
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
Primera derivada
[src]
/ / 2 \ \
asin(x) |log(cot(3*x)) \-3 - 3*cot (3*x)/*asin(x)|
cot (3*x)*|------------- + --------------------------|
| ________ cot(3*x) |
| / 2 |
\ \/ 1 - x /
$$\left(\frac{\left(- 3 \cot^{2}{\left(3 x \right)} - 3\right) \operatorname{asin}{\left(x \right)}}{\cot{\left(3 x \right)}} + \frac{\log{\left(\cot{\left(3 x \right)} \right)}}{\sqrt{1 - x^{2}}}\right) \cot^{\operatorname{asin}{\left(x \right)}}{\left(3 x \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / 2 \ \ / 2 \ / 2 \ |
asin(x) || log(cot(3*x)) 3*\1 + cot (3*x)/*asin(x)| / 2 \ x*log(cot(3*x)) 9*\1 + cot (3*x)/ *asin(x) 6*\1 + cot (3*x)/ |
cot (3*x)*||- ------------- + -------------------------| + 18*\1 + cot (3*x)/*asin(x) + --------------- - -------------------------- - --------------------|
|| ________ cot(3*x) | 3/2 2 ________ |
|| / 2 | / 2\ cot (3*x) / 2 |
\\ \/ 1 - x / \1 - x / \/ 1 - x *cot(3*x)/
$$\left(\frac{x \log{\left(\cot{\left(3 x \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \left(\frac{3 \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{\cot{\left(3 x \right)}} - \frac{\log{\left(\cot{\left(3 x \right)} \right)}}{\sqrt{1 - x^{2}}}\right)^{2} - \frac{9 \left(\cot^{2}{\left(3 x \right)} + 1\right)^{2} \operatorname{asin}{\left(x \right)}}{\cot^{2}{\left(3 x \right)}} + 18 \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} - \frac{6 \left(\cot^{2}{\left(3 x \right)} + 1\right)}{\sqrt{1 - x^{2}} \cot{\left(3 x \right)}}\right) \cot^{\operatorname{asin}{\left(x \right)}}{\left(3 x \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 3 2 2 \
| / / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ 2 / 2 \ / 2 \ |
asin(x) | | log(cot(3*x)) 3*\1 + cot (3*x)/*asin(x)| log(cot(3*x)) | log(cot(3*x)) 3*\1 + cot (3*x)/*asin(x)| | / 2 \ x*log(cot(3*x)) 9*\1 + cot (3*x)/ *asin(x) 6*\1 + cot (3*x)/ | 54*\1 + cot (3*x)/ / 2 \ 54*\1 + cot (3*x)/ *asin(x) 27*\1 + cot (3*x)/ 3*x *log(cot(3*x)) 108*\1 + cot (3*x)/ *asin(x) 9*x*\1 + cot (3*x)/ |
cot (3*x)*|- |- ------------- + -------------------------| + ------------- - 3*|- ------------- + -------------------------|*|18*\1 + cot (3*x)/*asin(x) + --------------- - -------------------------- - --------------------| + ------------------ - 108*\1 + cot (3*x)/*asin(x)*cot(3*x) - --------------------------- - --------------------- + ------------------ + ---------------------------- - --------------------|
| | ________ cot(3*x) | 3/2 | ________ cot(3*x) | | 3/2 2 ________ | ________ 3 ________ 5/2 cot(3*x) 3/2 |
| | / 2 | / 2\ | / 2 | | / 2\ cot (3*x) / 2 | / 2 cot (3*x) / 2 2 / 2\ / 2\ |
\ \ \/ 1 - x / \1 - x / \ \/ 1 - x / \ \1 - x / \/ 1 - x *cot(3*x)/ \/ 1 - x \/ 1 - x *cot (3*x) \1 - x / \1 - x / *cot(3*x)/
$$\left(\frac{3 x^{2} \log{\left(\cot{\left(3 x \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{9 x \left(\cot^{2}{\left(3 x \right)} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}} \cot{\left(3 x \right)}} - \left(\frac{3 \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{\cot{\left(3 x \right)}} - \frac{\log{\left(\cot{\left(3 x \right)} \right)}}{\sqrt{1 - x^{2}}}\right)^{3} - 3 \left(\frac{3 \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(x \right)}}{\cot{\left(3 x \right)}} - \frac{\log{\left(\cot{\left(3 x \right)} \right)}}{\sqrt{1 - x^{2}}}\right) \left(\frac{x \log{\left(\cot{\left(3 x \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{9 \left(\cot^{2}{\left(3 x \right)} + 1\right)^{2} \operatorname{asin}{\left(x \right)}}{\cot^{2}{\left(3 x \right)}} + 18 \left(\cot^{2}{\left(3 x \right)} + 1\right) \operatorname{asin}{\left(x \right)} - \frac{6 \left(\cot^{2}{\left(3 x \right)} + 1\right)}{\sqrt{1 - x^{2}} \cot{\left(3 x \right)}}\right) - \frac{54 \left(\cot^{2}{\left(3 x \right)} + 1\right)^{3} \operatorname{asin}{\left(x \right)}}{\cot^{3}{\left(3 x \right)}} + \frac{108 \left(\cot^{2}{\left(3 x \right)} + 1\right)^{2} \operatorname{asin}{\left(x \right)}}{\cot{\left(3 x \right)}} - 108 \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot{\left(3 x \right)} \operatorname{asin}{\left(x \right)} - \frac{27 \left(\cot^{2}{\left(3 x \right)} + 1\right)^{2}}{\sqrt{1 - x^{2}} \cot^{2}{\left(3 x \right)}} + \frac{54 \left(\cot^{2}{\left(3 x \right)} + 1\right)}{\sqrt{1 - x^{2}}} + \frac{\log{\left(\cot{\left(3 x \right)} \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) \cot^{\operatorname{asin}{\left(x \right)}}{\left(3 x \right)}$$
Gráfico