Find expressions for
(a) dQ/dP for the supply function Q = P² + P + 1
(b) d(TR)/dQ for the total revenue function TR = 50Q – 3Q²
(c) d(AC)/dQ for the average cost function AC = 30/Q + 10
(d) dC/dY for the consumption function C = 3Y + 7
(e) dQ/dL for the production function Q = 10√L
(f) dπ/dQ for the profit function π = –2Q³ + 15Q² − 24Q − 3