# How do you differentiate #f(x) = 2x - x sin x#?

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To differentiate ( f(x) = 2x - x \sin(x) ), apply the product rule. The derivative is ( f'(x) = 2 - \sin(x) - x \cos(x) ).

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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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