Use the product rule to find the derivative. y = (5x2+ 3)(5x - 2) y' =Find f'(x). x2 + 9 f(X) = 3x - 7 f' ( x ) =According to economic theory, the demand x for a quantity dx in a free market decreases as the price p increases (see (A) Find E- the gure). Suppose that the number x of DVD players people are willing to buy per week from a retail chain at a dx - w - b _m FD priceo pisgiven yx_0.2p+1' -p- . Answer parts (A), (B), and (C). (B) Find the demand and the instantaneous rate of X a change of demand with respect to price when the 3000 price is $20. Write a brief interpretation of these (3 results. The demand is x = B when the price is $20. Demand The instantaneous rate of change of demand with respect to price is B when the price is $20. Write a brief interpretation of these results. 0 40 80 Price (dollars) At a price level of $20, the demand is D DVD players per week and demand is at the rate of D (C) Use the results from part (B) to estimate the demand if the price is increased to $21. The demand is approximately B if the price is increased to $21