$x\frac{dy}{dx}+y=x^2\cdot y^{2\:}$
$\frac{a\cdot3+b\cdot3-ab\:}{a\cdot2-b\cdot2}$
$\frac{8x^24x-2}{x+1}$
$\lim_{x\to0}\left(\frac{0-x}{sinx}\right)$
$\frac{d}{dx}\cos\left(-7x\right)$
$\lim_{x\to4}\left(\frac{\:ln\left(x\right)}{\left(x-1\right)^2}\right)$
$7x>0$
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