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Determine the local maxima of f(x) = -x^3 + 3x^2 + 1. (2021)

Practice Questions

1 question
Q1
Determine the local maxima of f(x) = -x^3 + 3x^2 + 1. (2021)
  1. (0, 1)
  2. (1, 3)
  3. (2, 5)
  4. (3, 4)

Questions & Step-by-step Solutions

1 item
Q
Q: Determine the local maxima of f(x) = -x^3 + 3x^2 + 1. (2021)
Solution: f'(x) = -3x^2 + 6x. Setting f'(x) = 0 gives x = 0 or x = 2. f(2) = 5 is a local maximum.
Steps: 0

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