$\lim_{x\to0}\left(\frac{x-2}{x-3}\right)^{\frac{1}{x}}$

$\frac{5c+1}{7c}-\frac{3c-2}{3c}$

$\left(3p+3\right)^4$

$x^2\left(y+1\right)dx\:+\:y^2\left(x-1\right)dy\:=\:0\:$

$-\frac{9}{\left(3x+2\right)^2}$

$\left(\frac{2}{3}x^2y^3\right)\left(-\frac{3}{5}a^2x^4y\right)$

$\frac{dy}{dx}=\left(3x+2\right)\left(e^{-4x}\right)$