CPM Homework Help : CALC Problem 7-41

Let $S$ be the surface area of an inflatable cube with sides of length $x$ at time $t$ . Write an equation that relates $\frac { d S } { d t }$ to $\frac { d x } { d t }$ .

Hint:

$S = 6x^2$

Steps:

Implicitly differentiate with respect to time, $t$ .