JEE Main 2024 Mathematics question
If the function f(x) = 2x³ − 9ax² + 12a²x + 1, a > 0 has a local maximum at x = α and a local minimum x = α², then α and α² are the roots of the equation:
Answer: (A)
Solution
f′(x) = 6(x − a)(x − 2a), so the maximum is at x = a and the minimum at x =
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