If `y=sqrt((1+e^x)/(1-e^x)),s howt h a t(dy)/(dx)=(e^x)/((1-e^x)sqrt(1-e^(2x)))`

Explanation

To find the derivative \( \frac{dy}{dx} \) of the function \( y = \sqrt{\frac{1 + e^x}{1 - e^x}} \), we will use the chain rule and the quotient rule. Here is the step-by-step solution:

### Step 1: Rewrite the Function
We start with the function:
\[ y = \sqrt{\frac{1 + e^x}{1 - e^x}} \]
This can be rewritten as:
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