# If #f(x)=ax^n#, then why is #f'(x)=nax^(n-1)#?

According to the derivative's definition:

Apply the binomial formula now:

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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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- What is the equation of the line normal to # f(x)=(x-1)^2/(x^2+2) # at # x=1#?

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