Consider the function 𝑓: ℝ β†’ ℝ where ℝ is the set of all real numbers. \(f(x)…

Consider the function 𝑓: ℝ β†’ ℝ where ℝ is the set of all real numbers.

f(x)=x44βˆ’2x33βˆ’3x22+1f(x) = \frac{x^4}{4} - \frac{2x^3}{3} - \frac{3x^2}{2} + 1

Which of the following statements is/are TRUE?

  1. A.

    π‘₯ = 0 is a local maximum of f

  2. B.

    π‘₯ = 3 is a local minimum of f

  3. C.

    π‘₯ = βˆ’1 is a local maximum of f

  4. D.

    π‘₯ = 0 is a local minimum of f

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