The volume of a cube is decreasing at the rate of when the edge length is
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
The volume of a cube is decreasing at the rate of 96cm3/s when the edge length is 4cm.
(i) Determine the instantaneous rate at which the edge length is changing at this instant.
(ii) Keeping the same instant in view, find the rate at which the total surface area S of the cube is changing, where S=6a2.