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MHT CET20243 May 2024Evening ShiftMathematicsApplication of DerivativesActual

The value of c for which Rolle's theorem for the function f (x)=x^3-3 x^2+2 x in the interval [0,2] are

Options

  1. A1
  2. B2
  3. C1 1 3
  4. D3 (1 3 )

Correct answer

C. 1 1 3

Step-by-step solution

aligned & f (x)=x^3-3 x^2+2 x & f ^ (x)=3 x^2-6 x+2 & Now, f ^ ( c )=0 & 3 c ^2-6 c +2=0 & c = 6 12 6 & c =1 12 6 & c =1 1 3 aligned

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