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allelopath

Term/phrase for curve or surface with one minimum

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Is there a term or phrase to distinguish a curve or a surface that has one minimum, like so: http://math.feld.cvut.cz/mt/txtc/3/gifa3/pc3ca3bb.gif from one that has more than one minimum, like so: http://www.science.ubc.ca/~csp/life/StudentSamples/Website1/images/theory2.gif

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How about 'unique minimum'.
Even if it not a standard phrase, it may convey the meaning.

or can one describe in a more mathematical way, e.g. a curve such that f'(x) = 0 for only one value of x?

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First off no clue, but I would call the one with only a maximum negative and the one with only a minimum positive as it would correspond to graphing a quadratic. -(x^2) = y only has a max. also slope for x > 0 is negative.
x^2 = y only has a min. also slope for x > 0 is positive.

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