$f\left(x\right)=\sqrt{x^2}+1\:-\ln\left(\frac{\sqrt{x^2+1}}{2x}\right)$

$\lim_{x,y\to1,2}\left(\frac{5x^2y}{x^2+y^2}\right)$

$\frac{dy}{dx}\left(\sqrt{xy}=x+y\right)$

$7\:-\:2t\:+\:y\:+\:3y\:+\:3t$

$\frac{\sin\left(a+b\right)-\sin\left(a-b\right)}{\cos\left(a+b\right)+\cos\left(a-b\right)}$

$\lim_{x\to-\infty}\left(\frac{\sqrt{16x^2+2x-2}-3x}{x+9}\right)$

$\frac{\left(6v^2\right)^{-1}w^{-4}}{\left(2v\right)^{-3}w^{10}}$