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Mathematics 17 Online
OpenStudy (studygurl14):

What now? Calculus @zepdrix

OpenStudy (studygurl14):

@zepdrix

OpenStudy (xapproachesinfinity):

@StudyGurl14 hey this the same thing except that there are not extrema

OpenStudy (studygurl14):

Critical points also exist where x is undefined, btw. Not just where g' = 0

OpenStudy (xapproachesinfinity):

g'<0 is still valid for this problem because e^-x^2 >0 positive for any x with minus sign it becomes <0

OpenStudy (xapproachesinfinity):

yes and i said that in your earlier post

OpenStudy (studygurl14):

How do you know it will be positive for any x?

OpenStudy (studygurl14):

Oh, sorry. Didn't catch that bit.

OpenStudy (xapproachesinfinity):

but your function so far are all differentiable at any x

OpenStudy (xapproachesinfinity):

well think of e^-x^2 plug in any x value and it will turn a positive for the output

OpenStudy (xapproachesinfinity):

y=e^-x^2 y values are always positive

OpenStudy (studygurl14):

okay.

OpenStudy (xapproachesinfinity):

in fact e^x as a graph is above x axis that won't change for e^-x^2

OpenStudy (studygurl14):

So there are no extrema?>

OpenStudy (xapproachesinfinity):

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