# At which point(s) does the graph of the function #f(x) = (x^2) / (x - 1)# have a horizontal tangent line?

Using the quotient rule, we find the derivative as

Setting this equal to zero, we get

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The graph of the function f(x) = (x^2) / (x - 1) has a horizontal tangent line at x = 2.

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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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