Let f : - 1 , 1 → R be a function defined by f x = m a x - x , - 1 - x 2 . If K be the set of all points at which f is not differentiable, then K has exactly

Question

Let f : - 1 , 1 → R be a function defined by f x = m a x - x , - 1 - x 2 . If K be the set of all points at which f is not differentiable, then K has exactly, two elements, one element, three elements, five elements

MARKS App · Accepted Answer

From the graph, it can be concluded that f x is non-differentiable at x = 0 , ± 1 2 in - 1 , 1 . ∴ At 3 points in - 1 , 1 .

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