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Application of Derivatives
Maxima and Minima
JEE Main 2020
Grade 12

Question:

The local maximum value of $f(x) = x^3 - 3x$ is:
(1) $-2$
(2) $0$
(3) $2$
(4) $3$

Step-by-Step Solution

Key Concept: Solve $f'(x) = 0$ to locate the critical points, then use the sign of $f''(x)$ (or a sign change of $f'$) to identify which one gives a local maximum, and evaluate $f$ there.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (3)

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