North Rhine-Westphalia Zentralabitur Mathematics Practice Questions - North Rhine-Westphalia Zentralabitur Mathematics (Mathematik) Exam

What condition typically indicates a local extremum (maximum or minimum) of a differentiable function f at x0?

f'(x0) = 0, with a sign change in f' around x0 f(x0) = 0 only f''(x0) is always positive f'(x0) is undefined

Correct Answer:

f'(x0) = 0, with a sign change in f' around x0

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