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Critical Point

Let f x =max ...

Question

Let $f (x) = m a x {x, x^{3}}$ and $x \in R$ then the set of points where f(x) is not differentiable is

A

{-1, 1}

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B

{-1, 0}

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C

{0, 1}

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D

{-1, 0, 1}

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Solution

The correct option is D {-1, 0, 1}

From graph , f(x) is not differentiable at x = -1, 0, 1.

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