# What is the derivative of # f(x)=e^cosx + cos(e^x)#?

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The derivative of ( f(x) = e^{\cos(x)} + \cos(e^x) ) with respect to ( x ) is ( -e^{\cos(x)} \sin(x) - e^x \sin(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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