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:
2*y + 1 / 2*y + 1 \
asin (3) |asin (3) 2*y + 1 |
y *|-------------- + 2*asin (3)*log(y)*log(asin(3))|
\ y /
$$y^{\operatorname{asin}^{2 y + 1}{\left(3 \right)}} \left(2 \log{\left(y \right)} \log{\left(\operatorname{asin}{\left(3 \right)} \right)} \operatorname{asin}^{2 y + 1}{\left(3 \right)} + \frac{\operatorname{asin}^{2 y + 1}{\left(3 \right)}}{y}\right)$$
1 + 2*y / 2 \
asin (3) |/1 \ 2 + 4*y 1 + 2*y / 1 4*log(asin(3)) 2 \|
y *||- + 2*log(y)*log(asin(3))| *asin (3) + asin (3)*|- -- + -------------- + 4*log (asin(3))*log(y)||
|\y / | 2 y ||
\ \ y //
$$y^{\operatorname{asin}^{2 y + 1}{\left(3 \right)}} \left(\left(2 \log{\left(y \right)} \log{\left(\operatorname{asin}{\left(3 \right)} \right)} + \frac{1}{y}\right)^{2} \operatorname{asin}^{4 y + 2}{\left(3 \right)} + \left(4 \log{\left(y \right)} \log{\left(\operatorname{asin}{\left(3 \right)} \right)}^{2} + \frac{4 \log{\left(\operatorname{asin}{\left(3 \right)} \right)}}{y} - \frac{1}{y^{2}}\right) \operatorname{asin}^{2 y + 1}{\left(3 \right)}\right)$$
1 + 2*y / 3 / 2 \ \
asin (3) |/1 \ 3 + 6*y 1 + 2*y |1 3*log(asin(3)) 3 6*log (asin(3))| 2 + 4*y /1 \ / 1 4*log(asin(3)) 2 \|
y *||- + 2*log(y)*log(asin(3))| *asin (3) + 2*asin (3)*|-- - -------------- + 4*log (asin(3))*log(y) + ---------------| + 3*asin (3)*|- + 2*log(y)*log(asin(3))|*|- -- + -------------- + 4*log (asin(3))*log(y)||
|\y / | 3 2 y | \y / | 2 y ||
\ \y y / \ y //
$$y^{\operatorname{asin}^{2 y + 1}{\left(3 \right)}} \left(\left(2 \log{\left(y \right)} \log{\left(\operatorname{asin}{\left(3 \right)} \right)} + \frac{1}{y}\right)^{3} \operatorname{asin}^{6 y + 3}{\left(3 \right)} + 3 \left(2 \log{\left(y \right)} \log{\left(\operatorname{asin}{\left(3 \right)} \right)} + \frac{1}{y}\right) \left(4 \log{\left(y \right)} \log{\left(\operatorname{asin}{\left(3 \right)} \right)}^{2} + \frac{4 \log{\left(\operatorname{asin}{\left(3 \right)} \right)}}{y} - \frac{1}{y^{2}}\right) \operatorname{asin}^{4 y + 2}{\left(3 \right)} + 2 \left(4 \log{\left(y \right)} \log{\left(\operatorname{asin}{\left(3 \right)} \right)}^{3} + \frac{6 \log{\left(\operatorname{asin}{\left(3 \right)} \right)}^{2}}{y} - \frac{3 \log{\left(\operatorname{asin}{\left(3 \right)} \right)}}{y^{2}} + \frac{1}{y^{3}}\right) \operatorname{asin}^{2 y + 1}{\left(3 \right)}\right)$$