$\lim_{x\to2}\frac{4x^2}{3-\sqrt{x^2+6}}$
$\frac{d^2}{dx^2}\left(6sinx+5cosy=6\right)$
$x\left(4x-7\right)+y\left(2y+1\right)$
$\frac{dy}{dx}+\frac{4y}{x}=0$
$\int\cos^2\left(4x^3-3\right)x^2dx$
$x^3+6x^2+3x-10$
$\frac{x-3}{x^2-9}+\frac{x+1}{x+3}=x+2$
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