# At where f(x)=|(x^2)-9| is differentiable?

Everywhere except x=3 and x=-3

The same conclusion could be obtained when x=-3.

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The function ( f(x) = |(x^2) - 9| ) is differentiable at all points except at ( x = -3 ), ( x = 3 ), and where ( (x^2) - 9 = 0 ). Therefore, it is differentiable for all ( x ) such that ( x \neq -3 ), ( x \neq 3 ), and ( x \neq -3 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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