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AP EAMCET20228 Jul 2022Morning ShiftMathematicsApplication of DerivativesActual

At x =0, f(x)= x-1+ x^2 2 - x^3 3

Options

  1. Ahas a minimum value
  2. Bhas a maximum value
  3. Chas no extremum value
  4. Dis not defined

Correct answer

C. has no extremum value

Step-by-step solution

We are given that f(x)= x-1+ x^2 2 - x^3 3 aligned & f ^ ( x )=- x + x - x ^2 & f ^ ( x )=- x +1-2 x aligned At x=0 f ^ (0)=- 0+1-0=-1+1=0 ' x=0 ' is neither maxima nor minima point A t ^ x =0 ' f ( x ) has no extremum value.

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