Derivatives Rolle With It True Or False

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1.	f ' (x) = -> 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. The function f ' (x) is -> always negative True False
6.	A graph of the function f(x) is shown below. Insert Image DM-1 Which of the following could be the graph of f ' (x)? -> Image DM-4 True False
7.	A graph of f ' (x) is shown below. Image DM-6 Which of the following could be the graph of f(x)? -> Image DM-10 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? -> 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

Derivatives True or False

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