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Determine the local maxima or minima of f(x) = -x^2 + 4x. (2019)

Practice Questions

1 question
Q1
Determine the local maxima or minima of f(x) = -x^2 + 4x. (2019)
  1. Maxima at x=2
  2. Minima at x=2
  3. Maxima at x=4
  4. Minima at x=4

Questions & Step-by-step Solutions

1 item
Q
Q: Determine the local maxima or minima of f(x) = -x^2 + 4x. (2019)
Solution: f'(x) = -2x + 4. Setting f'(x) = 0 gives x = 2. Since f''(x) = -2 < 0, it is a maxima.
Steps: 0

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