Maxima/minimaMediumQuestion 310005
Question
For f(x) = x³ − 3x, the local maximum value is:
- A2Correct
- B−2
- C0
- D3
Correct answer
2
Explanation
f'(x) = 3x² − 3 = 0 → x = ±1. f''(x) = 6x. At x = −1: f'' = −6 < 0 (local max). f(−1) = −1 + 3 = 2.
JEE Mathematics · Medium
Application of Derivatives: Maxima/minima MCQ
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