Question: DEMAND FUNCTIONS The demand function for the Luminar desk lamp is given by
p = f(x) = -0.1x2 - 0.4x + 35
where x is the quantity demanded in thousands and p is the unit price in dollars.
a. Find f'(x).
b. What is the rate of change of the unit price when the quantity demanded is 10,000 units (x = 10)? What is the unit price at that level of demand?