Chapter 4. Slope
This chapter is devoted to the studying the slope of a graph. Defining slope can be a little slippery: perhaps you've learned to calculate the slope of a line as the rise over the run.
While this definition works perfectly well for lines, it leaves something to be desired for curved graphs. On a curved graph the slope will change from point to point, and so we'll need a better way to calculate it. Luckily for us, an operator called the derivative does just that! By taking the derivative of a function, we learn the slope at every point on the graph. The derivative allows us to become much more discerning graphers of functions.