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21. dx Assume x and y are functions of t. Evaluate % for 3xy 2x + 2y3 = 12. with the conditions 3 = - 6, x: 2, y = 1. _ dt _ (Type an exact answer in simplied form.) ID: 6.5.3 23. The demand function for a certain product is determined by the fact that the product of the price and the quantity demanded equals 6000. The product currently sells for $3.80 per unit. Suppose manufacturing costs are increasing over time at a rate of 14% and the company plans to increase the price p at this rate as well. Find the rate of change of demand over time. Find the demand function represented in this problem where p is the price of the product and q is the quantity demanded for the product. (Type an equation.) Demand is (1} at a rate of approximately units per unit of time. (Round to the nearest integer as needed.) (1) O decreasing 0 increasing ID: Bus Econ 6.5.13 Find dy for the given values of x and Ax. y: 9x+2; x: 1: Ax=0.18 What is the derivative of y: 1(9)\" 2 ? (Round to the nearest thousandth as needed.)