Use implicit differentiation to find the slope of the tangent line to the curve y = x +8 x + 8y 9 at the point slope =A product is introduced to the market. The weekly profit (in dollars) of that product decays exponentially as function of the price that is charged (in dollars) and is given by P($) = 55000 - 60'02'2 Suppose the price in dollars of that product, m(t), changes over time t (in weeks) as given by W) : 46 + 0.6 - t2 Find the rate that profit changes as a function of time, P'(t) [: dollars/week How fast is profit changing with respect to time 6 weeks after the introduction. dollars/week