Answer
$\frac{dy}{dt}=-2x^{-\sqrt{2}-1}$
Work Step by Step
Given $y=\sqrt{2}x^{-\sqrt{2}}$
On differentiating both sides:
$\frac{dy}{dt}=-\sqrt{2}\sqrt{2}x^{-\sqrt{2}-1}$
$\frac{dy}{dt}=-2x^{-\sqrt{2}-1}$
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