$\frac{d}{dx}\left(\frac{x^2y^2+xy+1}{2x^2y}\right)$
$\frac{x-1}{x^2-3x-10}$
$\frac{\tan\left(3x\right)}{\sin\left(3x\right)}$
$\frac{dy}{dx}-x^3=10$
$2-sec^2z=1-tan^2z$
$\int\sqrt{\left(x^2+16\right)}dx$
$\int cos\left(16x\right)cos\left(7x\right)dx$
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