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Second Derivatives and Beyond

Second Derivatives and Beyond

Second Derivatives and Beyond: What's Concave Up? True or False

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

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