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

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

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To solve the problem, we start with the equation given: \[ e^y (x + 1) = 1 \] We need to show that: \[ \frac{d^2y}{dx^2} = \left(\frac{dy}{dx}\right)^2 \] ...
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