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If f is continuous for all x and y and has two relative minima then f must have at least one relative maximum?
Wiki User
∙ 14y ago
Yes.
If you find 2 relative minima and the function is continuous, there must be exactly one point between these minima with the highest value in that interval. This point is a relative maxima.
Think of temperature for example (it is continuous).
Wiki User
∙ 14y ago
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