Let f(x) = (x-1)^4 (x-2)^n, n N. Then f(x) has

JEE Advanced Mathematics question

Mathematics Application of Derivatives JEE Advanced

Let , . Then has

(A)a maximum at if is oddCorrect
(B)a maximum at if is even
(C)a minimum at if is evenCorrect
(D)a maximum at if is odd

Answer: (A),(C)

Solution

. Look at the sign of near each point. **Near :** and . - odd: , so near 1. That is a **maximum** at . ✔ (a) - even: . That is a minimum, not a maximum. ✗ (b)

**Near :** 1)^4\a$

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Question ID VK-109420