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Topic: [ap-calculus] Double Derivatives
Replies: 3   Last Post: Oct 23, 2012 10:30 PM

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 - Lisa Lewis Posts: 380 Registered: 12/6/04
Re: [ap-calculus] Double Derivatives
Posted: Oct 23, 2012 10:30 PM

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Not necessarily. Consider y = x^4. Both y' and y'' = 0 at x = 0, but
there is no point of inflection there.
HTH

Lisa

In a message dated 10/23/2012 8:35:04 P.M. Eastern Daylight Time,
DBricker@cathedralcatholic.org writes:

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In using the second derivative test for extrema, you may get the second
derivative to equal zero when plugging in a critical number and the test then
fails. Will this point then be a POI?

Debbie
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