# How do you differentiate #y=(1+e^(2x))/(2-e^(2x))#?

The quotient rule

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To differentiate ( y = \frac{1+e^{2x}}{2-e^{2x}} ), you can use the quotient rule:

( y' = \frac{(2 - e^{2x})(2e^{2x}) - (1+e^{2x})(2e^{2x})}{(2 - e^{2x})^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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