Let 𝑓: ℝ β†’ ℝ be a function such that 𝑓(π‘₯) = max{π‘₯, \(x^3\) }, π‘₯ ∈ ℝ ,…

GATE Β· 2024 Β· CS Β· Set 1 Β· Computer Science & IT

Let 𝑓: ℝ β†’ ℝ be a function such that 𝑓(π‘₯) = max{π‘₯,Β x3x^3 }, π‘₯ ∈ ℝ , where ℝ is the set of all real numbers. The set of all points where 𝑓(π‘₯) is NOT differentiable isΒ Β Β Β 

  1. A.

    {βˆ’1, 1, 2}

  2. B.

    {βˆ’2, βˆ’1, 1}

  3. C.

    {0, 1}

  4. D.

    {βˆ’1, 0, 1}

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