The graph (from the US Department of Energy) shows how driving speed affects gas mileage. Fuel economy

Question:

The graph (from the US Department of Energy) shows how driving speed affects gas mileage. Fuel economy F is measured in miles per gallon and speed v is measured in miles per hour.

(a) What is the meaning of the derivative F′(v)?

(b) Sketch the graph of F′(v).

(c) At what speed should you drive if you want to save on gas?

FA (mi/gal) 30 10 10 20 30 40 50 60 70 v (mi/h) 20

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