Suppose That the Market Demand and Supply Curves for Chocolate

Essay

Suppose that the market demand and supply curves for chocolate ice cream are represented by the following equations:
Q^D = 10,000 - 50P
Q^S = -200 + 40P
where Q^D is the quantity demanded, Q^S is the quantity supplied, and P is the price.
a. Show that the law of demand holds using calculus.
b. Show that the law of supply holds using calculus.