Question

differentiate y = 1/✓2x​

Answer 1

Answer:

$y=\frac{1}{\sqrt{2}x } \\\\y=(\sqrt{2} x)^-1\\\\\frac{dy}{dx}= -1\frac{1}{(\sqrt{2} x)^2}. (\frac{1}{2\sqrt{2} x}) \\\\\frac{dy}{dx}= \frac{-1}{2 x^2}. (\frac{1}{2\sqrt{2} x}) \\\\\frac{dy}{dx}= \frac{-1}{4\sqrt{2}x^3}$