Second Derivatives and Beyond True or False

1.	Which of the following statements is true? -> A differentiable function need not be defined everywhere. True False
2.	Find the second derivative of the function f(x) = -sin x. -> f "(x) = cos x True False
3.	Find the second derivative of the function f (x) = xln x. -> ln x + 1 True False
4.	Let f (x) be a polynomial of degree 20. Which of the following functions has degree 10? -> f ⁽¹⁰⁾(x) True False
5.	Let f(x) = cos x. Then f ⁽⁹⁹⁾(x) = -> -sin x True False
6.	Which of the following functions is decreasing and concave up? -> True False
7.	Which of the following functions has f " positive? -> True False
8.	Which of the following functions has a positive first derivative and a negative second derivative? -> True False
9.	Assume that f and f ' are differentiable. If f ' is increasing, then which of the following must be true? -> f is increasing. True False
10.	Which of the following functions has no concavity? -> True False

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