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Determine the point of inflection for f(x) = x^4 - 4x^3 + 6. (2023)

Practice Questions

1 question
Q1
Determine the point of inflection for f(x) = x^4 - 4x^3 + 6. (2023)
  1. (1, 3)
  2. (2, 2)
  3. (0, 6)
  4. (3, 0)

Questions & Step-by-step Solutions

1 item
Q
Q: Determine the point of inflection for f(x) = x^4 - 4x^3 + 6. (2023)
Solution: f''(x) = 12x^2 - 24x. Setting f''(x) = 0 gives x(12x - 24) = 0, so x = 0 or x = 2. Check f(1) = 3.
Steps: 0

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