Die Heuning Pot Literature Guide
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Second Derivatives and Beyond

Second Derivatives and Beyond

Quizzes

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. -> f"(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? -> f10(x)
5. Let f(x) = cos x. Then f(99)(x) = -> -sin x
6. Which of the following functions is decreasing and concave up? ->
7. Which of the following functions has both f' and f" positive? ->
8. Which of the following functions has a positive first derivative and a negative second derivative? ->
9. Assume that f and f' are differentiable. If f' 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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