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March 25th, 2013, 08:55 AM   #1
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Smallest Critical Number

1) The graph of f' (the derivative of f) is shown below. Classify the smallest critical number for f. - I chose local maximum.

[attachment=1:1v2qu8aw]1.gif[/attachment:1v2qu8aw]

2) The graph of f ' (the derivative of f) is shown below. Classify the smallest critical number for f. - I chose neither.

[attachment=0:1v2qu8aw]2.gif[/attachment:1v2qu8aw]

Are these correct?
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 1.gif (14.3 KB, 234 views) 2.gif (14.6 KB, 229 views)

 March 25th, 2013, 09:15 AM #2 Senior Member   Joined: Feb 2013 Posts: 281 Thanks: 0 Re: Smallest Critical Number The first graph has two critical points, the smaller belongs to the local maximum, indeed. The second graph has only one critical point, so it is the smallest itself, isn't it?
March 14th, 2014, 10:59 AM   #3
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Re: Smallest Critical Number

Quote:
 Originally Posted by math999 1) The graph of f' (the derivative of f) is shown below. Classify the smallest critical number for f. - I chose local maximum. [attachment=1:2d9sb4hx]1.gif[/attachment:2d9sb4hx] 2) The graph of f ' (the derivative of f) is shown below. Classify the smallest critical number for f. - I chose neither. [attachment=0:2d9sb4hx]2.gif[/attachment:2d9sb4hx] Are these correct?

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