MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
For a certain cube, the edge length (in cm) varies with time t (in s) according to a=3t+t2.
(a) Obtain the instantaneous rate of change of the volume when t=2s.
(b) At the same instant, calculate the rate of change of the total surface area.
(c) Compare the numerical values obtained in parts (a) and (b) and state which quantity—volume or surface area—is changing more rapidly at t=2s. Give a brief justification.