1. 
f'(x) = > $$\lim_{h\to0}\frac{f(x + h)f(x)}{h}$$

2. 
Let f(x) = x^{2}  x. Calculate f'(x). > f'(x) = 2x  1

3. 
If f'(x) = 4x^{2} + 3, find f'(2). > There is insufficient information to answer this question.

4. 
If f(x) is a line of the form f(x) = mx + b then > f'(x) = m

5. 
A graph of the function f(x) is shown below. PICTURE mult choice 33 The function f'(x) is > always negative

6. 
A graph of the function f(x) is shown below. PICTURE mult choice 31 without red Which of the following could be the graph of f'(x)? > PICTURE: mult choice 31c

7. 
A graph of f'(x) is shown below. PICTURE mult choice 32 without red Which of the following could be the graph of f(x)? > PICTURE: mult choice 32d

8. 
If  f is differentiable on (a,b), and
 f(a) = f(b), then Rolle's Theorem tells us
> the number of values c in (a,b) for which f'(c) = 0.

9. 
For which given function and interval are we allowed to use the Mean Value Theorem? > f(x) = \frac{1}{x^{2}} on (0,2)

10. 
What does the Mean Value Theorem tell us about the function f(x) = x^{3} on the interval (2,1)? > There is some c in (2,1) with f'(c) = 3.
