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January 24th, 2010, 08:41 AM   #1
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Values of the derivative greatest and least graph

Can someone explain to me how after looking at the graph below I am able to find the the greatest derivative of (A,B,C orD) and the least derivative, thank you for your assistance in advance.

Here is the graph image
[attachment=0:1fv1a0v8]graph18.jpg[/attachment:1fv1a0v8]
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File Type: jpg graph18.jpg (21.7 KB, 133 views)
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January 24th, 2010, 04:32 PM   #2
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Re: Values of the derivative greatest and least graph

Quote:
Originally Posted by wicked357
Can someone explain to me how after looking at the graph below I am able to find the the greatest derivative of (A,B,C orD) and the least derivative, thank you for your assistance in advance.

Here is the graph image
[attachment=0:mb8u4hgw]graph18.jpg[/attachment:mb8u4hgw]
By inspection derivative is max at D and min at B. It is simply the direction of the tangent at that point.
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January 25th, 2010, 09:50 AM   #3
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That's incorrect. The derivative is steadily increasing as you go from A to B to C to D, so it's least at A and greatest at D.
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January 25th, 2010, 01:02 PM   #4
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Originally Posted by skipjack
That's incorrect. The derivative is steadily increasing as you go from A to B to C to D, so it's least at A and greatest at D.
You're right. I glanced at the graph too hastily and missed A.
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