# What is the derivative of #f(x) = e^x/lnx#?

Using the quotient rule:

we have:

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The derivative of ( f(x) = \frac{e^x}{\ln(x)} ) is:

[ f'(x) = \frac{e^x \cdot (\ln(x) - 1)}{(\ln(x))^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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