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AP EAMCET202017 Sep 2020Morning ShiftMathematicsApplication of DerivativesActual

The values of (x ) at the stationary points of (f(x)=x^3+3 x^2-2 ) are

Options

  1. A0,2
  2. B1,2
  3. C(0,-2 )
  4. D1,1

Correct answer

C. (0,-2 )

Step-by-step solution

Let (y=f(x)=x^3+3 x^2-2 ) ( d y d x =3 x^2+6 x d^2 y d x^2 =6 x+6 ) For stationary points ( d y d x =0 ) ( 3 x(x+2)=0 x=0,-2 )

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