Show that the function f(x) = |x − 2| is not differentiable at 2.

asked Sep 6, 2024 100k views

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Answer:

See below

Explanation:

$f(x)=|x-2|\\f'(x)=(x-2)/(|x-2|)\\f'(2)=(2-2)/(|2-2|)=(0)/(0)$

So, the function is not differentiable at x=2.

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