- You have a new assignment.
- We will have a quiz over section 1.3: the derivative at a point at the end of class.
Definition 1.4.2. Let $f$ be a function and $x$ a value in the function's domain. We define the derivative of f, a new function called $f'$ by the formula \[ f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h} \] provided this limit exists.
- Let's take a look at a couple of the activities in
section
1.4:
- Activity 1.4.2: these are a little troublesome because we
don't have scales for the "change in x" and the "change in y"....
- 1.4.3 Exercises, #3 is along the same vein.
- Activity 1.4.2: these are a little troublesome because we
don't have scales for the "change in x" and the "change in y"....
- Time for a worksheet.
- Then a quiz!
- I really like this exercise, referenced in the text. Fun and challenging!
- Limit laws you can believe in!