$\frac{dy}{dx}\left(y=\arcsin\left(\frac{1}{19}x\right)\right)$

$\left(y\:+\:8\right)\left(y\:-\:4\right)$

$\frac{dy}{dx}=\frac{1}{x}+\cos\left(x\right)$

$\frac{dy}{dx}\:x\left(t\right)=asec\left(e^t\right);\:y\left(t\right)=btan\left(a^t\right)\:$

$\frac{dy}{dx}\left(\frac{\left(1-x\right)}{x-3}\right)$

$\int\frac{2x+3}{\left(x+4\right)\left(x-1\right)}dx$

$4x^2-\frac{x}{2}+1=0$