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Asked • 06/08/20

Please Help - Calculus Question

Give an example of, and explain why the example is sufficient for the following:

  1. Functions f and g with f’(x) = g’(x), ∀x, but f(x) g(x)
  2. A function f(x) such that f’’(x) = –f(x)
  3. Function with a critical point but no local minimum or maximum
  4. A function with an absolute minimum at x = c, for which f’(c) does not exist
  5. A function that is concave down on (0,1) with no local extreme on (0,1)

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