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

Using the quotient rule:

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To differentiate ( \frac{x}{\sqrt{x^2 + 1}} ), you can use the quotient rule, which states that if you have a function in the form ( \frac{u}{v} ), its derivative is given by ( \frac{u'v - uv'}{v^2} ). So, differentiate ( u = x ) and ( v = \sqrt{x^2 + 1} ), then apply the quotient rule to get the derivative.

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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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