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AP EAMCET202422 May 2024Morning ShiftMathematicsApplication of DerivativesActual

The value c of Lagrange's mean value theorem for f(x)=e^ x +24 in [0,1] is

Options

  1. A(e-1)
  2. B(e+1)
  3. C(e+24)
  4. D(e-24)

Correct answer

A. (e-1)

Step-by-step solution

f(x)=e^x+24 in [0,1] According to Lagrange's mean value theorem aligned & f(1)-f(0) 1-0 =f^ (c) ; e+24-24-1 1 =e^c & e-1=e^c c= (e-1) aligned

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