If `e^y(x+1)=1`, show that `(d^2y)/(dx^2)=((dy)/(dx))^2`

Explanation

To solve the problem, we need to show that if \( e^{y(x+1)} = 1 \), then \( \frac{d^2y}{dx^2} = \left( \frac{dy}{dx} \right)^2 \).

### Step 1: Start with the given equation
The given equation is:
\[ e^{y(x+1)} = 1 \]

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