Date |
Question |
|---|---|
| 9-5 | Explain the ε-δ definition of limits. |
| 9-12 | Explain the proof of the product rule. |
| 9-19 |
Explain why the derivative of cos(x) is -sin(x). Use the methods in § 3.5. |
| 9-26 | Explain the proof of the chain rule. |
| 10-3 |
Explain: if f has a local maximum at c, then either 1) f '(c)=0, or 2) f '(c) doesn't exist, or 3) c is an endpoint. |
| 10-10 |
Explain horizontal asymptotes intuitively. Also, explain the precise definition of a limit as x appoaches ±∞. |
| 10-31 |
Explain the definition of the definite integral. Go through an example that helps you understand this definition. |
| 11-7 | Explain the proof of the Fundamental Theorem of Calculus. |
| 11-14 | Explain the shell method for finding volumes. |
| 11-23 |
Explain what exponential functions are, and why the derivative of ex is ex. |
| 11-30 |
Why is the integral of 1/x equal to the natural logarithm of the absolute value of x (plus C)? |
| 12-9 |
Explain L'Hospital's rule. Why do we need the conditions that f(x) and g(x) both tend to 0 as x tends to a? |