# How do you find the derivative using limits of #f(x)=1/x^2#?

The incremental ratio is then:

and passing to the limit:

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To find the derivative of (f(x) = \frac{1}{x^2}), apply the definition of the derivative, which involves taking the limit of the difference quotient as (h) approaches 0.

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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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