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#1 2016-01-22 12:29:10

Mathegocart
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Registered: 2012-04-29
Posts: 2,226

Critical Numbers-Help!

tCW1f79.png
Is this the right awnser?
at -5 the result is 0 so I chose that it was a critical point.
and number 2 question is TRUE, edited because undefined./

Last edited by Mathegocart (2016-01-22 12:30:10)


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#2 2016-01-22 17:11:25

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Critical Numbers-Help!

Hi;

I like - 5 also.


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#3 2016-01-22 21:24:39

Bob
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Registered: 2010-06-20
Posts: 10,058

Re: Critical Numbers-Help!

hi mathgogocart

2nd:  If the derivative is undefined at x=1 then it cannot have a critical point there as such points are defined in terms of the derivative.

In your last post you also asked about CPs.  From a quick internet search it seems most sites use CP to mean a point where the first derivative is zero.  Some also recognise a second order critical point as one where the second derivative is zero.

http://www.mathwords.com/s/second_order … _point.htm

So you need to look at how Khan is defining CPs.

Questions of definition sometimes are open to debate because there is no absolute authority on definitions.  I usually check Wolfram, Wiki and Mathword.

Bob


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#4 2016-01-22 21:58:52

Nehushtan
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Registered: 2013-03-09
Posts: 957

Re: Critical Numbers-Help!

The last question should be "Maybe".


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