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Determine the intervals where f(x) = x^4 - 4x^3 has local minima. (2020)

Practice Questions

1 question
Q1
Determine the intervals where f(x) = x^4 - 4x^3 has local minima. (2020)
  1. (0, 2)
  2. (1, 3)
  3. (2, 4)
  4. (0, 1)

Questions & Step-by-step Solutions

1 item
Q
Q: Determine the intervals where f(x) = x^4 - 4x^3 has local minima. (2020)
Solution: f'(x) = 4x^3 - 12x^2. Setting f'(x) = 0 gives x = 0, 3. Testing intervals shows local minima at (0, 2).
Steps: 0

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