# How do you estimate the instantaneous rate of change of the function #f(x)=xlnx# at #x=1# and at #x=2#?

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To estimate the instantaneous rate of change of the function (f(x) = x \ln(x)) at (x = 1) and (x = 2), we can calculate the derivatives of the function at these points using the definition of the derivative. Then, we evaluate these derivatives at the respective points to find the instantaneous rates of change.

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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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