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AP EAMCET202423 May 2024Morning ShiftMathematicsApplication of DerivativesActual

In each of the following options, a function and an interval are given. Choose the option containing the function and the interval for which Lagrange's mean value theorem is not applicable

Options

  1. Af(x)=|x| ; 1 x 5
  2. Bf(x)=[x],[ 2 , 3 ]
  3. Cf(x)= (x^2-1 ), [ 1 e , e-2 ]
  4. Df(x)=e^x ;[-e, e]

Correct answer

C. f(x)= (x^2-1 ), [ 1 e , e-2 ]

Step-by-step solution

f(x)= (x^2-1 ), x [ 1 e , e-2 ]f ( 1 e ) does not exist f(x) is not continuous on [ 1 e , e-2 ] Lagrange's mean value theorem is not applicable.

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