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/4
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Derivada de x^(2*x)
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Derivada de 6
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Derivada de x^(3*x)
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Expresiones idénticas
- (arcsin2x)^(ctg(x+ uno))
- (arc seno de 2x) en el grado (ctg(x más 1))
- (arc seno de 2x) en el grado (ctg(x más uno))
- (arcsin2x)(ctg(x+1))
- arcsin2xctgx+1
- arcsin2x^ctgx+1
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Expresiones semejantes
- (arcsin2x)^(ctg(x-1))
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Expresiones con funciones
- ctg
- ctg(x/3)
- ctg(1/x)
- ctg4x
- ctg(2x+1)
- ctg3x*arccos(3x)^2
Derivada de (arcsin2x)^(ctg(x+1))
Solución
Ha introducido
[src]
cot(x + 1) asin (2*x)
$$\operatorname{asin}^{\cot{\left(x + 1 \right)}}{\left(2 x \right)}$$
asin(2*x)^cot(x + 1)
Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
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Simplificamos:
Respuesta:
Primera derivada
[src]
cot(x + 1) // 2 \ 2*cot(x + 1) \
asin (2*x)*|\-1 - cot (x + 1)/*log(asin(2*x)) + -----------------------|
| __________ |
| / 2 |
\ \/ 1 - 4*x *asin(2*x)/
$$\left(\left(- \cot^{2}{\left(x + 1 \right)} - 1\right) \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} + \frac{2 \cot{\left(x + 1 \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) \operatorname{asin}^{\cot{\left(x + 1 \right)}}{\left(2 x \right)}$$
Segunda derivada
[src]
/ 2 / 2 \ \
cot(1 + x) |// 2 \ 2*cot(1 + x) \ 4*\1 + cot (1 + x)/ / 2 \ 4*cot(1 + x) 8*x*cot(1 + x) |
asin (2*x)*||\1 + cot (1 + x)/*log(asin(2*x)) - -----------------------| - ----------------------- + 2*\1 + cot (1 + x)/*cot(1 + x)*log(asin(2*x)) + ---------------------- + -----------------------|
|| __________ | __________ / 2\ 2 3/2 |
|| / 2 | / 2 \-1 + 4*x /*asin (2*x) / 2\ |
\\ \/ 1 - 4*x *asin(2*x)/ \/ 1 - 4*x *asin(2*x) \1 - 4*x / *asin(2*x)/
$$\left(\frac{8 x \cot{\left(x + 1 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} + \left(\left(\cot^{2}{\left(x + 1 \right)} + 1\right) \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} - \frac{2 \cot{\left(x + 1 \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right)^{2} + 2 \left(\cot^{2}{\left(x + 1 \right)} + 1\right) \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \cot{\left(x + 1 \right)} + \frac{4 \cot{\left(x + 1 \right)}}{\left(4 x^{2} - 1\right) \operatorname{asin}^{2}{\left(2 x \right)}} - \frac{4 \left(\cot^{2}{\left(x + 1 \right)} + 1\right)}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) \operatorname{asin}^{\cot{\left(x + 1 \right)}}{\left(2 x \right)}$$
Tercera derivada
[src]
/ 3 2 / / 2 \ \ / 2 \ 2 / 2 \ / 2 \ \
cot(1 + x) |// 2 \ 2*cot(1 + x) \ / 2 \ // 2 \ 2*cot(1 + x) \ |/ 2 \ 2*\1 + cot (1 + x)/ 2*cot(1 + x) 4*x*cot(1 + x) | 16*cot(1 + x) 8*cot(1 + x) 2 / 2 \ 12*\1 + cot (1 + x)/ 96*x *cot(1 + x) 12*\1 + cot (1 + x)/*cot(1 + x) 24*x*\1 + cot (1 + x)/ 48*x*cot(1 + x) |
-asin (2*x)*||\1 + cot (1 + x)/*log(asin(2*x)) - -----------------------| + 2*\1 + cot (1 + x)/ *log(asin(2*x)) + 6*|\1 + cot (1 + x)/*log(asin(2*x)) - -----------------------|*|\1 + cot (1 + x)/*cot(1 + x)*log(asin(2*x)) - ----------------------- + ---------------------- + -----------------------| - ------------------------ - ----------------------- + 4*cot (1 + x)*\1 + cot (1 + x)/*log(asin(2*x)) + ---------------------- - ----------------------- - ------------------------------- + ----------------------- + -----------------------|
|| __________ | | __________ | | __________ / 2\ 2 3/2 | 3/2 3/2 / 2\ 2 5/2 __________ 3/2 2 |
|| / 2 | | / 2 | | / 2 \-1 + 4*x /*asin (2*x) / 2\ | / 2\ 3 / 2\ \-1 + 4*x /*asin (2*x) / 2\ / 2 / 2\ / 2\ 2 |
\\ \/ 1 - 4*x *asin(2*x)/ \ \/ 1 - 4*x *asin(2*x)/ \ \/ 1 - 4*x *asin(2*x) \1 - 4*x / *asin(2*x)/ \1 - 4*x / *asin (2*x) \1 - 4*x / *asin(2*x) \1 - 4*x / *asin(2*x) \/ 1 - 4*x *asin(2*x) \1 - 4*x / *asin(2*x) \-1 + 4*x / *asin (2*x)/
$$- \left(- \frac{96 x^{2} \cot{\left(x + 1 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}} \operatorname{asin}{\left(2 x \right)}} + \frac{48 x \cot{\left(x + 1 \right)}}{\left(4 x^{2} - 1\right)^{2} \operatorname{asin}^{2}{\left(2 x \right)}} + \frac{24 x \left(\cot^{2}{\left(x + 1 \right)} + 1\right)}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} + \left(\left(\cot^{2}{\left(x + 1 \right)} + 1\right) \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} - \frac{2 \cot{\left(x + 1 \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right)^{3} + 6 \left(\left(\cot^{2}{\left(x + 1 \right)} + 1\right) \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} - \frac{2 \cot{\left(x + 1 \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) \left(\frac{4 x \cot{\left(x + 1 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} + \left(\cot^{2}{\left(x + 1 \right)} + 1\right) \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \cot{\left(x + 1 \right)} + \frac{2 \cot{\left(x + 1 \right)}}{\left(4 x^{2} - 1\right) \operatorname{asin}^{2}{\left(2 x \right)}} - \frac{2 \left(\cot^{2}{\left(x + 1 \right)} + 1\right)}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}}\right) + 2 \left(\cot^{2}{\left(x + 1 \right)} + 1\right)^{2} \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} + 4 \left(\cot^{2}{\left(x + 1 \right)} + 1\right) \log{\left(\operatorname{asin}{\left(2 x \right)} \right)} \cot^{2}{\left(x + 1 \right)} + \frac{12 \left(\cot^{2}{\left(x + 1 \right)} + 1\right)}{\left(4 x^{2} - 1\right) \operatorname{asin}^{2}{\left(2 x \right)}} - \frac{12 \left(\cot^{2}{\left(x + 1 \right)} + 1\right) \cot{\left(x + 1 \right)}}{\sqrt{1 - 4 x^{2}} \operatorname{asin}{\left(2 x \right)}} - \frac{8 \cot{\left(x + 1 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}{\left(2 x \right)}} - \frac{16 \cot{\left(x + 1 \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{3}{\left(2 x \right)}}\right) \operatorname{asin}^{\cot{\left(x + 1 \right)}}{\left(2 x \right)}$$