Question: [0/3 Points]Demand Function for Desk Lamps The demand function for the Luminar desk lamp is given byp=f(x)=-0.1x2-0.6x22where x is the quantity demanded in thousands and

[0/3 Points]Demand Function for Desk Lamps The demand function for the Luminar desk lamp is given byp=f(x)=-0.1x2-0.6x22where x is the quantity demanded in thousands and p is the unit price in dollars.(a) Find f'(x).f'(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 $ per 1,000 lampsWhat is the unit price (in dollars) at that level of demand?$ Resources

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