BUSINESS: Advertising An automobile dealership finds that the number of cars that it sells on day x of an advertising campaign is S(x) = -x 2 +10x (for 0 ≤ x ≤ 7).
a. Find S'(x) by using the definition of the derivative.
b. Use your answer to part (a) to find the instantaneous rate of change on day x = 3.
c. Use your answer to part (a) to find the instantaneous rate of change on day x = 6.
Be sure to interpret the signs of your answers.
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