Find the derivative of the following functions. Show all solutions/calculations. 2 points each: 1. TC = f(Q) = 182 2. Y= -1X3 3. TR = f(Q) = -Q 4. Y = 45X - 0.5X2 5 points each: 5. Y = 4X' (2X-5) 6. Y = 3X3 X2 10 points: 7. Y = UB + 3U and U = -X2 + 10X 20 points: 8. Given the following total-revenue and total-cost functions of a firm: TR = 12Q -0.2502 TC = 1/403 + 10.3Q3 + 8Q + 30 Determine: a) The level of output at which the firm maximizes its total profit; b) The maximum profit the firm could earn