Math 161 Calculus I

Reading Outlines

You should answer these questions as you read the text.

Section 3.3

1. Answer the question in the margin on page 198: Could you use the fact that you know the derivative of $\sqrt{x}$ (what is it?) to find the derivative of $\sqrt{x+1}$?
2. What is a transcendental function?
3. Review: What is natural about the natural exponential function?
4. What can you ``pull out of'' a limit? See the middle of p. 201.
5. How does the book conclude that the k in the center of p. 201 exists?
6. How are the slopes of f and f^-1 related?
7. What is the derivative of ln x?
8. To check the Fact in the box on page 204, you'd have to take the derivative of F(x) = xln x - x + C. Which part(s) of this function can't we differentiate yet?
9. What is an antiderivative of 4e^x? How many antiderivatives are there?