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Question

If $y = e^{\sin^{-1}(t^2 - 1)}$ & $x = e^{\sin^{-1}\left(\frac{1}{t^2 - 1}\right)}$, then $\frac{dy}{dx}$ is equal to:

$\frac{x}{y}$

$-\frac{y}{x}$

$\frac{y}{x}$

$-\frac{x}{y}$

Solution

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