$\frac{d}{dx}\:\sqrt{xy}=\:8\:+\:x^2y$

$2e\:\frac{3}{5\:}\:-\frac{7}{8}+1e\:\frac{1}{2}$

$\lim_{x\toa}\left(\frac{x^{5}-a^{5}}{x^{4}-a^{4}}\right)$

$\lim_{x\to0}\left(\frac{2t^2+3t}{t^2-5}\right)$

$\left(5+a\right)^2\:$

$\lim_{x\to-\infty}\left(\frac{\sqrt{\left(4x^2-x\right)}}{\left(4+2x\right)}\right)$

$9y^8-6y^4+1$