MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
A biologist reports that M′(d), the derivative of the mass of a bacterial culture with respect to the number of days d, is measured in kilograms per day (kg/day). Which of the following best describes the quantity represented by M(d)?
(a) The total change in the culture’s mass, in kilograms, from day 0 to day d.
(b) The average mass of the culture, in kilograms, over the interval from day 0 to day d.
(c) The total mass of the culture, in kilograms, on day d.
(d) The amount (in kilograms) that the culture’s mass is expected to increase during the next day after day d.