How do you find the derivative of #1/(x-5)#?
Use
The chain rule:
Note: the chain rule does not make a difference in this case. However, if there was another function in which the denominator which didn't have a derivative equal to 1, the differentiation process would be more complex.
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To find the derivative of ( \frac{1}{x-5} ), you can use the power rule for differentiation. The derivative is given by ( -\frac{1}{{(x-5)}^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.
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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