Question:medium

If $ x^y = e^{x - y} $, then $ \frac{dy}{dx} $ is equal to

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If $x$, then $dy/dx$ is equal to

Updated On: Apr 15, 2026

$\frac{log~x}{(1+log~x)^{2}}$
$\frac{x-y}{(1+log~x)}$
$\frac{x-y}{(1+log~x)^{2}}$
$\frac{1}{(1+log~x)}$

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The Correct Option is A

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If \( x^y = e^{x - y} \), then \( \frac{dy}{dx} \) is equal to

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The Correct Option is A

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