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Find the value of x where the function f(x) = x^3 - 6x^2 + 9x has a local minimum. (2020)

Practice Questions

1 question
Q1
Find the value of x where the function f(x) = x^3 - 6x^2 + 9x has a local minimum. (2020)
  1. 1
  2. 2
  3. 3
  4. 0

Questions & Step-by-step Solutions

1 item
Q
Q: Find the value of x where the function f(x) = x^3 - 6x^2 + 9x has a local minimum. (2020)
Solution: Setting f'(x) = 3x^2 - 12x + 9 = 0 gives x = 1, 3. Testing shows x = 2 is a local minimum.
Steps: 0

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