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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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File Type: gif 1.gif (14.3 KB, 234 views)
File Type: gif 2.gif (14.6 KB, 229 views)
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March 25th, 2013, 09:15 AM   #2
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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?
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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?

Can you please post the graph pictures please thanks
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