$\lim_{x\to0}\left(1-\frac{x}{3}\right)^{\frac{1}{3x}}$
$\left(xy\right)+\left(5x\right)-\left(-xy+3x\right)$
$sec^2x\:dy\:=\:-csc\:y\:dx$
$\left(-4x^3+1\right)^2$
$\cos\left(y\right)\frac{dy}{dx}=\frac{2}{x}$
$45\:+\:5\:x\:5\:-\:100$
$-4y-10x-13xy+x^2=\left(5y-2x\right)\cdot2+x$
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