AP EAMCET202124 Aug 2021Evening ShiftMathematicsApplication of DerivativesActual

For the function f(x)=x^3-6 x^2-12 x-3 , x=2 is a

Options

Apoint of maxima
Bpoint of minima
Cpoint of inflection
Dnot a critical point

Correct answer

C. point of inflection

Step-by-step solution

We have, aligned f(x) & =x^3-6 x^2-12 x-3 f^ (x) & =3 x^2-12 x-12 f^ (x) & =6 x-12 f^ (2)=12-12=0 aligned Here, f^ (x)=0 at x=2 x=2 is a point of inflection.

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