# How do you find the derivative of #y=1/x^8#?

Rewrite it as

Not use the power rule to see that

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To find the derivative of ( y = \frac{1}{x^8} ), you can use the power rule for differentiation, which states that if ( f(x) = x^n ), then ( f'(x) = n \cdot x^{n-1} ). Applying this rule, the derivative of ( y = \frac{1}{x^8} ) is ( y' = -8x^{-9} ), which can be simplified to ( y' = -\frac{8}{x^9} ).

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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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