Chapter 2, Problem 56RE

In April 1991, the Economist carried an article³ which said:

Suddenly, everywhere, it is not the rate of change of things that matters, it is the rate of change of rates of change. Nobody cares much about inflation; only whether it is going up or down. Or rather, whether it is going up fast or down fast. ″Inflation drops by disappointing two points,″ cries the billboard. Which roughly translated means that prices are still rising, but less fast than they were, though not quite as much less fast as everybody had hoped.

In the last sentence, there are three statements about prices. Rewrite these as statements about derivatives.