Question

if y= √x-1/√x find dy/dx​

Answer 1

Answer:

- 1 \2 sqrt{x} ...by u/v

Answer 2

$</p><p></p><p>\underline{\underline{\color{cyan}Given\;Question\;is}} \\ \\</p><p></p><p>{\color{red} y=\sqrt{x}-\frac{1}{x}} \\ \\</p><p></p><p>\underline{\underline{\color{cyan}Answer}} \\ \\</p><p></p><p></p><p>{\color{green} y=\sqrt{x}-\frac{1}{x}} \\ \\</p><p></p><p>{\color{blue}Differentiate\;Bothsides\;w.r.t.x } \\ \\</p><p></p><p>{\color{green} \frac{dy}{dx}=\frac{1}{2\sqrt{x}}+\frac{1*x^{\frac{-3}{2}}}{2}}\\ \\</p><p></p><p>{\color{green} \frac{dy}{dx}=\frac{1}{2\sqrt{x}}+\frac{1*x^{\frac{-3}{2}}}{2}}\\ \\</p><p></p><p></p><p>\therefore{\color{cyan} \frac{dy}{dx}=\frac{1}{2\sqrt{x}}+\frac{x^{\frac{-3}{2}}}{2}}</p><p></p><p></p><p></p><p></p><p></p><p>$