Math 161 Calculus I

Reading Outlines

You should answer these questions as you read the text.

Section 2.2

1. Review questions: How do you figure out the slope of a line? Once you know the slope and a point, how do you write down the equation of the line?
2. Review question: what is the slope definition of the derivative of the function f at the point x = a?
3. If we define the derivative of f to be the function which gives the slope of the graph of f at the specified input, do you agree that what we get is a function? Why?
4. Review question: What is a tangent line at a point on a curve?
5. In example 1, how did the book estimate the slope of the tangent lines?
6. Explain the process of ``zooming in'' to estimate the slope of a graph at a point.
7. Explain what is ``natural'' about the function e^x.
8. How can you create a graph of f' is you have a graph of f?