Section $3\mathrm{.}5$: Do the two following problems. $1.$ Use implicit differentiation to find y$\text{'}$ and evaluate y$\text{'}$ at the given point. Show all work and each step of the calculation. y$2-$ y$3+5$xy $=5$ at point $(1,1)2.$ Suppose the number of meals people want to buy from Joella's Hot Chicken $($a Louisville restaurant$)$ is determined by the following equation where x is number of meals and y is price per meal. x $=4,500-0\mathrm{.}1$y$2$ One way to understand this equation is if the price is free or $$0$ then they will "sell" $4,500$ meals. If the raise the price above about $$35\mathrm{.}60$ no one will buy the meal. Use implicit differentiation to find dy$/$dx