Question

What is derivative of x if y=log (√x+1/√x)

Answer 1

To find, $\frac{dx}{dy}$

$y = log( \frac{ \sqrt{x} + 1 }{ \sqrt{x} } ) \\ {e}^{y} = \frac{ \sqrt{x} + 1}{ \sqrt{x} }$

After evaluation,

$\frac{dx}{dy} = 2x$