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

Hence,

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To find the derivative of ( x^{\tan(x)} ), you can use logarithmic differentiation.

[ \frac{d}{dx} \left(x^{\tan(x)}\right) = x^{\tan(x)} \left(\tan(x) \cdot \frac{1}{x} + \ln(x) \cdot \sec^2(x) \cdot \ln(x)\right) ]

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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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