# How do you differentiate #x^2 sin(1/x) - 2#?

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To differentiate (x^2 \sin(\frac{1}{x}) - 2), use the sum and chain rules of differentiation. Differentiate each term separately, treating (\sin(\frac{1}{x})) as a composite function.

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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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