For $0\backslash$le t$\backslash$le$4,$ the average price of a home in a city is modeled by the equation p$\backslash$left$($t$\backslash$right$)=1\mathrm{.}3\backslash$cdot t$^2-12\backslash$cdot t$+120,$ where p$($t$)$ is in thousands of dollars, and t is in years. $($a$)$ find p$\text{'}($t$)($b$)$ find p$\text{'}(2)$