A rectangle has one side of length meters and the adjacent side of length meters

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A rectangle has one side of length

x

meters and the adjacent side of length

12-2x

meters, where

0<x<6

. Determine the value of

x

that maximizes the area of the rectangle.