# How do you differentiate #f(t)=(2t)/(2+sqrtt)#?

Using the quotient rule allows for this to be differentiated.

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To differentiate ( f(t) = \frac{2t}{2 + \sqrt{t}} ), you can use the quotient rule:

[ f'(t) = \frac{(2 + \sqrt{t})(2) - (2t)\left(\frac{1}{2\sqrt{t}}\right)}{(2 + \sqrt{t})^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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