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For all twice differentiable functios f colon R rightwards arrow R, with f left parenthesis 0 right parenthesis equals f left parenthesis 1 right parenthesis equals f to the power of ´ end exponent left parenthesis 0 right parenthesis equals 0

Maths-General

  1. f left parenthesis x right parenthesis not equal to 0 at every point x element of left parenthesis 0 , 1 right parenthesis    
  2. f to the power of ' left parenthesis x right parenthesis equals 0, for some x not equal to left parenthesis 0 , 1 right parenthesis    
  3. f to the power of ' left parenthesis 0 right parenthesis equals 0    
  4. f to the power of ' ' end exponent left parenthesis x right parenthesis equals 0'(x)=0'/>, at every point x element of left parenthesis 0 , 1 right parenthesis    

    Answer:The correct answer is: f to the power of ´ left parenthesis x right parenthesis equals 0, for some x not equal to left parenthesis 0 , 1 right parenthesis

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