Question

If a company’s sales (in millions of dollars) for time t months is given by

f(t) = 0.003t^3 + 0.5t^2 + 2t + 3

a. Find f'(t).
b. Find f'(5).
c. What does this tell you about the company’s position in the month of May (i.e.,t = 5)?

Answer 1

f ' (t) = .009t^2 + t + 2

f ' (5) = .009(25) + 5 + 2 = 7.225

sales in May were rising at 7,225,000 units per month