- Implicit Differentiaion & Related Rates Course Packet on computing elasticity of demand using implicit differentiation The yearly demand function for Penn State Bakery cookie trays is given by x2 + 5p2 + 3x + 25p = 250 where p is the wholesale unit price in dollars and x is the quantity demanded each year, measured in units of a thousand. (a) Compute the price, p, when x = 10. Price, p = dollars (b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x = 10. Do not round your answer. Rate of change of demand, x' = thousands of units per dollar (c) Compute the elasticity of demand when x = 10. Do not round your answer. Elasticity of Demand =