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anonymous
 one year ago
Math help!
anonymous
 one year ago
Math help!

This Question is Closed

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1This is concave up dw:1436133062471:dw Can guess what it looks like for concave down? That's why f''(x) tells you if an extrema is a max or a min. If f'(x) < 0 then f'(x)=0 is min, if f''(x> > 0 then f'(x)=0 is a max

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So we see that C is false.

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1You are correct. f''(x) < 0 means concave DOWN dw:1436133399021:dw Here is how to remember what sign of f''(x) means: dw:1436133435469:dw

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1You know why B is false, right? https://en.wikipedia.org/wiki/Inflection_point#A_necessary_but_not_sufficient_condition

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Just because f''(x)=0 doesn't mean that that point is an inflection point. However, if that point is an inflection point then f''(x)=0. I hope this distinction makes sense. This is like saying if A is true then B is true. However, this does not mean the same as if B is true then A is true. Same logic. For A: If a function is defined in a closed interval, then there are real numbers defined at every point in that interval. If you have any set of real numbers, you can always find the maximum and minimum of this set. Do you agree?

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1"A" does NOT mean that the Global min and max are in this interval it just means that there IS a max and min in that interval.

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1No, it's right. Just want to make the distinction between a Global and Local (absolute) min and max.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay thank you so much! You're very helpful!
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