# What is the derivative of #f(x)=e^sinx - cos(e^x)#?

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The derivative of ( f(x) = e^{\sin(x)} - \cos(e^x) ) is ( f'(x) = e^{\sin(x)} \cdot \cos(x) + \sin(e^x) \cdot e^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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