# What is the derivative of #g(x)=x+(4/x)#?

It is easier to see the Power Rule on the second term by rewriting it as

Finally, you can rewrite this new second term as a fraction:

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We can use the Power Rule here. The exponent comes out front, and the power gets decremented by one. We now have

Hope this helps!

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The derivative of ( g(x) = x + \frac{4}{x} ) is ( g'(x) = 1 - \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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