Let f (x) = (x – 1) 4 (x – 2) n , n ∈ N. then f (x) has

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

1. local minimum at x = 2 if n is even
2. local minimum at x = 1 if n is odd
3. local maximum at x = 1 if n is odd
4. local minimum at x = 1 if n is even

Answer

(A) local minimum at x = 2 if n is even, (C) local maximum at x = 1 if n is odd, (D) local minimum at x = 1 if n is even

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