Find the critical points of the function f(x) = x^4 - 8x^2 + 16. (2019)

Practice Questions

1 question
Q1
Find the critical points of the function f(x) = x^4 - 8x^2 + 16. (2019)
  1. (0, 16)
  2. (2, 0)
  3. (4, 0)
  4. (1, 9)

Questions & Step-by-step Solutions

1 item
Q
Q: Find the critical points of the function f(x) = x^4 - 8x^2 + 16. (2019)
Solution: Setting f'(x) = 4x^3 - 16x = 0 gives x = 0, ±2. Evaluating f(2) = 0 shows (2, 0) is a critical point.
Steps: 0

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