# How do you find the derivative of #f(x) = e^x + e^(-x / 2)#?

Application thereof :

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To find the derivative of ( f(x) = e^x + e^{-x/2} ), apply the differentiation rules. The derivative of ( e^x ) is ( e^x ), and the derivative of ( e^{-x/2} ) is ( -\frac{1}{2} e^{-x/2} ). Therefore, the derivative of ( f(x) ) is ( f'(x) = e^x - \frac{1}{2} e^{-x/2} ).

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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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