# How do you find the derivative of #g(t) = 1/t^(1/2)#?

Applying the power rule:

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To find the derivative of ( g(t) = \frac{1}{\sqrt{t}} ), you can use the power rule for differentiation. The power rule states that if you have a function of the form ( f(x) = x^n ), then its derivative is ( f'(x) = n \cdot x^{n-1} ). Applying this rule to ( g(t) = \frac{1}{\sqrt{t}} ), we get ( g'(t) = -\frac{1}{2}t^{-\frac{3}{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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