Chapter 4 - Applications of the Derivative - 4.2 What Derivatives Tell Us - 4.2 Exercises - Page 259: 102

The growth rate is given by the slope of the tangent line to the curve. Up to the inflection point, the curve is concave up, meaning that the slopes are increasing. After the inflection point, the curve is concave down, meaning that the slopes are decreasing. So the maximum slope occurs at the inflection point.