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\documentclass[12pt]{article}\usepackage[margin=.5in]{geometry}\usepackage{amsmath}\usepackage{multicol}\begin{document}\subsection*{Derivatives with Product and Quotient Rules}Find the derivative of each of the functions below. Be sure to show your work.\begin{multicols}{2}\begin{enumerate}\item $y=\big(4x-4\big)\big(\sqrt{x}+2\big)$\vspace{1.5in}\item $y=\dfrac{x+4}{x-4}$\vspace{1.5in}\item $y=\dfrac{x^3}{x-1}$\vspace{1.5in}\item $y=11-x^6\cos x$\vspace{1.5in}\item $y=2x^2e^x$\vspace{1.5in}\item $y=x^7\tan x-\sqrt{x}$\vspace{1.5in}\item $y=\Big(x+\dfrac{1}{x}\Big)\Big(x-\dfrac{1}{x}\Big)$\vspace{1.5in}\item $y=x^3\cos x-9x$\vspace{1.5in}\item $\dfrac{x^8+3x+7}{x^2}$\vspace{1.5in}\item $y=2\sin x\big(e^x\big)$\vspace{1.5in}\item $y=\dfrac{\tan x}{x}$\vspace{1.5in}\item $y=\dfrac{\sin x}{10x}+\dfrac{10x}{\sin x}$\vspace{1.5in}\end{enumerate}\vspace{1.5in}\end{multicols}\end{document}