# How do you find the derivative of #y=lne^x#?

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So

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To find the derivative of ( y = \ln(e^x) ), we can use the chain rule. The derivative is given by:

[ \frac{dy}{dx} = \frac{d}{dx}[\ln(e^x)] = \frac{1}{e^x} \cdot \frac{d}{dx}(e^x) = \frac{1}{e^x} \cdot e^x = 1 ]

Therefore, the derivative of ( y = \ln(e^x) ) is ( \frac{dy}{dx} = 1 ).

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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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