# How do you find the derivative of #x^lnx#?

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To find the derivative of (x^{\ln(x)}), you can use logarithmic differentiation. The derivative is (x^{\ln(x)} \cdot (\frac{d}{dx}(\ln(x)) + \ln(x) \cdot \frac{d}{dx}(x^{\ln(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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