MHT CET202310 May 2023Evening ShiftMathematicsContinuity and DifferentiabilityActual

The value of c for the function f (x)= x on [1, e ] if LMVT can be applied, is

Options

Ae-2
Be+1
Ce-1
De

Correct answer

C. e-1

Step-by-step solution

aligned & f (x)= x & f ^ (x)= 1 x aligned By Lagrange's Mean value theorem, aligned & f ^ ( c )= f ( e )- f (1) e -1 & 1 c = e - 1 e -1 & 1 c = 1 e -1 & c = e -1 aligned

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