$\frac{cos^2\left(x\right)}{\left(1+sin\left(x\right)\right)^2}=\frac{1-sinx}{1+sinx}$
$\int\frac{8x^3}{9x^4+39}dx$
$\frac{x^2-1}{\left(x^{-2}+1\right)^2}$
$\frac{dy}{dx}=\frac{x^2y^2}{2xy}$
$\frac{2y+3}{x^2+3x}$
$\frac{x-1}{x+2}\le\:3$
$\frac{d}{dx}\:y^5-xy-x^5=6$
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