# How do you differentiate #f(x)=ln2^x/(3ln3x) #?

I will make use of the following rules of differentiation to evaluate this:

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To differentiate f(x) = ln(2^x) / (3ln(3x)), you can use the quotient rule. The derivative will be:

f'(x) = [((2^x) * ln(2) * 3ln(3x)) - (ln(2^x) * 3) * (1 / (3x))] / (3ln(3x))^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.

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