JEE Main 2024 Mathematics question
The function , x ∈ ℝ, has
- (A)Exactly one point of local minima and no point of local maxima
- (B)Exactly one point of local maxima and no point of local minima
- (C)Exactly two points of local maxima and exactly one point of local minima
- (D)Exactly one point of local maxima and exactly one point of local minimaCorrect
Answer: (D)
Solution
f′(x) = 2 + = + 1)/. f′ changes from + to − at x = −1 (local maximum) and from − to
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Question ID VK-016820