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Question

If f left parenthesis x right parenthesis equals f left parenthesis x minus 1 right parenthesis open vertical bar x to the power of 2 end exponent minus 2007 x plus 2010 close vertical bar plus left parenthesis s i n invisible function application left parenthesis x minus 1 right parenthesis right parenthesis times l n invisible function application x has

  1. local min at x = 1    
  2. local max at = 1    
  3. no local extremum at x = 1    
  4. none of these    

The correct answer is: no local extremum at x = 1


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