Question

let g(x)= sqrt(8x)-sqrt(2x). find derivative of g(x)

Answer 1

first write
\[\sqrt{8x}=2\sqrt{2x}\] then get
\[2\sqrt{2x}-\sqrt{2x}=\sqrt{2x}\] then take the derivative

Answer 2

you get via the chain rule
\[\frac{d}{dx}\sqrt{2x}=\frac{2}{2\sqrt{2x}}=\frac{1}{\sqrt{2x}}\]