Science:Math Exam Resources/Courses/MATH104/December 2014/Question 03 (c)/Statement

The price $p$ (in dollars) and the demand $q$ for a product are related by the following demand equation: $p^{3}+q+q^{3}=38$ Suppose the price increases at a rate of $\$7$/month. How fast does the demand decrease when the demand is $q=3$?