Answer
$\frac{dy}{dx}={2}e^{\sqrt{2}{x}}$
Work Step by Step
$y=\sqrt{2}e^{\sqrt{2}{x}}$
on differentiating both sides:
$\frac{dy}{dx}=\frac{d(\sqrt{2}e^{\sqrt{2}{x}})}{dx}$
$\frac{dy}{dx}=\sqrt{2}e^{\sqrt{2}{x}}\frac{d(\sqrt{2}{x})}{dx}$
$\frac{dy}{dx}={2}e^{\sqrt{2}{x}}$
