# What is the derivative of #ln x / e^x#?

First, we can rewrite this expression as a product instead of a quotient:

And, now, remembering the product rule:

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The derivative of ln(x) / e^x is (1 - x) / x^2 * e^(-x).

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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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