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

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To find the derivative of ( x^{\sin(x)} ), you can use the chain rule. The derivative is ( x^{\sin(x)} (\sin(x) \ln(x) + \cos(x)/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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