1 f'(x) = -> $$\lim_{h\to0}\frac{f(x + h)-f(x)}{h}$$ True False 2 Let f(x) = x2 - x. Calculate f'(x). -> f'(x) = -2x - 1 True False 3 If f'(x) = 4x2 + 3, find f'(-2). -> There is insufficient information to answer this question. True False 4 If f(x) is a line of the form f(x) = mx + b then -> f'(x) = m True False 5 A graph of the function f(x) is shown below.  PICTURE mult choice 3-3 The function f'(x) is -> always negative True False 6 A graph of the function f(x) is shown below.  PICTURE mult choice 3-1 without red Which of the following could be the graph of f'(x)? -> PICTURE: mult choice 3-1c True False 7 A graph of f'(x) is shown below.  PICTURE mult choice 3-2 without red Which of the following could be the graph of f(x)? -> PICTURE: mult choice 3-2d True False 8 If  f is continuous on [a,b] 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. True False 9 For which given function and interval are we allowed to use the Mean Value Theorem? -> f(x) = \frac{1}{x2} on (0,2) True False 10 What does the Mean Value Theorem tell us about the function f(x) = x3 on the interval (-2,1)? -> There is some c in (-2,1) with f'(c) = 3. True False