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MHT CET202016 Oct 2020Morning ShiftMathematicsApplication of DerivativesActual

If f(x)= ( x), x [ 6 , 5 6 ] , then value of 'c'by applyng L.mv.T. is

Options

  1. A2
  2. B2 3
  3. C3 4
  4. D4

Correct answer

A. 2

Step-by-step solution

(B) Value of ' ' by applying L.M.V.T. is to be found out aligned f(x) &= ( x) on [ 6 , 5 6 ] lot a= 6 , b= 5 6 f^ (x) &= x x = x f^ (c)= c f^ (c) &= f(b)-f(a) b-a = f ( 5 6 )-f ( 6 ) 5 6 - 6 c &= [ ( 5 6 ) ]- [ ( 6 ) ] 2 3 = 1 2 - ( 1 2 ) 2 3 c=0 & c= 2 aligned

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