# How do you differentiate #y=e^-x#?

Combining the two gives us

Multiplying the two gives:

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Differentiate using the chain rule, which states that,

Combine the results together to get:

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To differentiate y = e^(-x), you apply the chain rule, which states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function. Therefore, the derivative of y = e^(-x) is dy/dx = -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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