# How do you differentiate #x+4/x#?

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To differentiate (\frac{x + 4}{x}), you can use the quotient rule, which states that for a function (u/v), the derivative is ((u'v - uv')/v^2).

Let (u = x + 4) and (v = x). Then, (u' = 1) and (v' = 1).

Using the quotient rule, the derivative of (\frac{x + 4}{x}) is:

(\frac{(1)(x) - (x + 4)(1)}{x^2} = \frac{x - x - 4}{x^2} = \frac{-4}{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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