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General
Easy

Question

Let f be a twice differentiable function on left parenthesis 16 right parenthesis. If f left parenthesis 2 right parenthesis equals 8, f to the power of ´ end exponent left parenthesis 2 right parenthesis equals 5 comma f to the power of ´ end exponent left parenthesis x right parenthesis greater or equal than 1 and f to the power of ´ left parenthesis x right parenthesis greater or equal than 4, for all x element of left parenthesis 16 right parenthesis, then colon

  1. f left parenthesis 5 right parenthesis plus f to the power of ' end exponent left parenthesis 5 right parenthesis less or equal than 26(5)26'/>    
  2. f left parenthesis 5 right parenthesis plus f to the power of ' end exponent left parenthesis 5 right parenthesis greater or equal than 28(5)28'/>  
  3. f to the power of ' end exponent left parenthesis 5 right parenthesis plus f to the power of ' ' end exponent left parenthesis 5 right parenthesis less or equal than 20(5)+f''(5)20'/>    
  4. f left parenthesis 5 right parenthesis less or equal than 10    

The correct answer is: f left parenthesis 5 right parenthesis plus f to the power of ´ end exponent left parenthesis 5 right parenthesis less or equal than 26

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