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March 14th, 2014, 12:03 PM  #1 
Newbie Joined: Mar 2014 Posts: 2 Thanks: 0  CLASSIFY THE SMALLEST CRITICAL NUMBER FOR F
1) The graph of f' (the derivative of f) is shown below. Classify the smallest critical number for f.  I chose local maximum. 2) The graph of f ' (the derivative of f) is shown below. Classify the smallest critical number for f.  I chose neither. Are these correct? 
March 14th, 2014, 07:04 PM  #2 
Senior Member Joined: Mar 2014 Posts: 112 Thanks: 8 
1. The critical numbers are at x = 2 and 1. Absolute maximum is at x = 2 and absolute minimum is at x = 1 (i.e. the second derivative). 2. The critical numbers are at x = ±3 and 0. 

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