A city’s population (in thousands of residents) is modeled as a differentiable…
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A city’s population P (in thousands of residents) is modeled as a differentiable function of time t (in months). At t=12, the first derivative is P′(12)=0 and the second derivative is P′′(12)=−1.4thousand residents per month2. Explain what these two derivative values reveal about the population trend at 12 months.