The demand function for the Luminar desk lamp is given by p = f(x) = -0.1x2- 0.3x + 32 where x is the quantity demanded in thousands and p is the unit price in dollars. (a) Find f'(x). f'( x ) = X (b) What is the rate of change of the unit price (in dollars per 1,000 lamps) when the quantity demanded is 5,000 units (x = 5)? $ per 1,000 lamps What is the unit price (in dollars) at that level of demand