Find `(dy)/(dx)` , when `x=(e^t+e^(-t))/2` and `y=(e^t-e^(-t))/2`

Explanation

To find \(\frac{dy}{dx}\) when \(x = \frac{e^t + e^{-t}}{2}\) and \(y = \frac{e^t - e^{-t}}{2}\), we can use the chain rule. The steps are as follows:

### Step 1: Differentiate \(y\) with respect to \(t\)

Given:
\[ y = \frac{e^t - e^{-t}}{2} \]
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