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Determine the intervals where f(x) = x^4 - 4x^3 has increasing behavior. (2023)

Practice Questions

1 question
Q1
Determine the intervals where f(x) = x^4 - 4x^3 has increasing behavior. (2023)
  1. (-∞, 0)
  2. (0, 2)
  3. (2, ∞)
  4. (0, 4)

Questions & Step-by-step Solutions

1 item
Q
Q: Determine the intervals where f(x) = x^4 - 4x^3 has increasing behavior. (2023)
Solution: f'(x) = 4x^3 - 12x^2 = 4x^2(x - 3). f'(x) > 0 for x in (0, 3).
Steps: 0

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