Let f x = max ⁡ x , x 2 x ≤ 3 12 - x 3 x ≤ 12 . If S is the set of points in the interval - 12 , 12 at which f is not differentiable, then S is

Question

Let f x = max ⁡ x , x 2 x ≤ 3 12 - x 3 x ≤ 12 . If S is the set of points in the interval - 12 , 12 at which f is not differentiable, then S is, equal to - 3 , 3, equal to - 3 , - 1 , 1 , 3, an empty set, equal to - 3 , - 1 , 0 , 1 , 3

MARKS App · Accepted Answer

Here, f x = 12 + x - 12 ≤ x - 3 x 2 - 3 ≤ x ≤ - 1 x - 1 x 1 x 2 1 ≤ x ≤ 3 12 - x 3 x ≤ 12 Hence, f x is not differentiable at x = - 3 , - 1 , 0 , 1 , 3 ⇒ S = - 3 , - 1 , 0 , 1 , 3

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