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anonymous
 4 years ago
Does a differentiable function have to have a relative minimum between any two relative maxima? Why?
anonymous
 4 years ago
Does a differentiable function have to have a relative minimum between any two relative maxima? Why?

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Hero
 4 years ago
Best ResponseYou've already chosen the best response.2Because otherwise, it wouldn't be a function? dw:1328463326481:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yup i concur with hero

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2Without a relative min, if you wanted to create a function between two points, it would essentially be a line. A line doesn't have a relative min/max.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you! I can't think of another counterexample. Is a line a counterexample, though?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well as a matter of fact it would be..as it would not be havin rel. maximas/minimas

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0What I don't understand is this: How can a line disprove the statement if that line does not have the two maxima in the first place?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0According to my class, it must have minimum. That was the correct answer. Thank you both very much.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0all the credit goes to hero...

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2The line is there to show you that if you drew the line to create a function, you would have a function, but you wouldn't have a minimum, maximum or any of the such.
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