# How do you find the instantaneous rate of change for #f(x)= (x^2-2)/(x-1)# for x=2?

Differentiate using the quotient rule and then use the value of x to get

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To find the instantaneous rate of change for ( f(x) = \frac{x^2 - 2}{x - 1} ) at ( x = 2 ), you can use the derivative of the function.

First, find the derivative of ( f(x) ) using the quotient rule, then evaluate the derivative at ( x = 2 ) to get the instantaneous rate of change at that point.

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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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