The function f (x) = x 2 (x –2) 2

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

The function f (x) = x2 (x –2)2
  1. decreases on (0, 1) ∪ (2, ∞)
  2. increase on (–∞, 0) ∪ (1, 2)
  3. has a local maximum value 0
  4. has a local maximum value 1

Answer

(D) has a local maximum value 1

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