9. [-l2 Points] DETAILS TANAPCALC10 3.1.012. | MY NOTES Find the derivative of the function f by using the rules of differentiation. f(x) = %x2/ 11 Need Help? 12. [-/6 Points] DETAILS TANAPCALC10 3.4.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Marginal Average Cost for Producing Thermometers The management of ThermoMaster Company, whose Mexican subsidiary manufactures an indoor-outdoor thermometer, has estimated that the total weekly cost (in dollars) for producing x thermometers is represented by the following function. Find the following functions (in dollars) and interpret your results. C(x) = 6,000 + 6x (a) Find the average cost function C. C(X ) = (b) Find the marginal average cost function C'. C' (x) = (c) Interpret your results. O Since the marginal average cost function is negative for x > 0, the rate of change of the average cost function is positive for all x > 0. O Since the marginal average cost function is positive for x > 0, the rate of change of the average cost function is negative for all x > 0. Since the marginal average cost function is negative for x > 0, the rate of change of the average cost function is negative for all x > 0. O Since the marginal average cost function is positive for x > 0, the rate of change of the average cost function is positive for all x > 0. Need Help? Read It Watch It13. [-/5 Points] DETAILS TANAPCALC10 3.6.044. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Effect of Price on Supply of Eggs Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation. 625p2 - x2 =100 If 32000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 54/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint: To find the value of p when x = 32, solve the supply equation for p when x = 32.) cartons per week Need Help? Read It Watch It