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AP EAMCET202421 May 2024Morning ShiftMathematicsApplication of DerivativesActual

If the Rolle's theorem is applicable for the function f(x) defined by f(x)=x^3+P x-12 on [0,1] , then the value of C of the Rolle's theorem is

Options

  1. A1 3
  2. B- 1 3
  3. C1 3
  4. D1 3

Correct answer

C. 1 3

Step-by-step solution

Rolle's theorem is applicable on aligned & f(x)=x^3+P x-12 on [0,1] & f(0)=f(1) -12=1+P-12 P=-1 aligned Now, f^ (c)=3 c^2-1=0 c= 1 3 Since, c [0,1] -1 3

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