Starting with a full tank of gas, the distance traveled by a particular car is D(g) = 0.05g² + 35g, where D is measured in miles and g is the amount of gas consumed in gallons.
a. Compute dD>dg. What units are associated with the derivative and what does it measure?
b. Find dD>dg for g = 0, 5, and 10 gal (include units). What do your answers say about the gas mileage for this car?
c. What is the range of this car if it has a 12-gal tank?