# What is the derivative of #f(x)= log_3(3-2x)#?

Thus,

To find the derivative of a natural logarithm function, use the chain rule:

Thus,

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The derivative of ( f(x) = \log_3(3-2x) ) is ( f'(x) = \frac{-2}{(3-2x)\ln(3)} ).

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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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