$9cos\left(2x\right)=8cos^2x-4$

$\frac{d}{dx}\:y^3-2y+3x^3=4x+1$

$m\frac{1}{2}n\frac{3}{2}$

$\frac{m^4n^2}{m^5n^6}$

$\lim_{h\to0}\left(\frac{\frac{1}{\left|2\left(x+h\right)+1\right|+1}}{h}\right)$

$f\left(x\right)=\left(3x^4+6x^3\right)cos\left(x\right)$

$\csc^2x-1=\cot^2x$