Saarland Abitur Mathematics Practice Questions - Saarland Abitur Mathematics (Mathematik) Exam

For f(x) = x^3 − 3x, using f''(x) = 6x, what type of extremum occurs at x = 1?

A local minimum, since f''(1) = 6 > 0 A local maximum, since f''(1) = 6 > 0 A local minimum, since f''(1) = 6 < 0 An inflection point, since f''(1) = 0

Correct Answer:

A local minimum, since f''(1) = 6 > 0

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