# What is the derivative of #x^(tan x)#?

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To find the derivative of ( x^{\tan(x)} ), we use the chain rule. The derivative is ( x^{\tan(x)} \left( \tan(x) \cdot \frac{1}{\cos^2(x)} + \ln(x) \cdot \sec^2(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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