$\lim_{x\to\infty}\left(\frac{12e^{\ln\:\left(x\right)^{\frac{1}{2}}}}{\sqrt{x}}\right)$
$\frac{1}{x^4-2x^2a+a^2}$
$8+y^6$
$\int-\frac{4}{9}e^xdx$
$\frac{dy}{dx}\left(x^2+2x+2y^2=1\right)$
$y\:-9\:=13$
$\frac{dy}{dx}=\frac{2x}{3y^2},y\left(1\right)=0$
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