$y'=y\left(4x-3\right)$

$\frac{6x^{5}+7x^{4}+10x^{2}+7x-18x^{3}-9}{2-x^{2}+3x^{3}}$

$\lim_{x\to infty}\left(\frac{\sqrt{9x^2-4}}{2x+7x^{0.5}}\right)$

$\frac{1}{100}r^2+\frac{1}{5}rt+t^2$

$\lim\:_{x\to\:14}\:\left(\frac{\sqrt{x+2\:}-4}{x-4}\right)$

$a^6-2a^3b^4+b^8$

$\left(3^4\:.\:3\right)^8\::\:\left(3^2\:.\:3^7\right)^4$