Question

$if \: \sqrt{ \frac{x}{y} } + \sqrt{ \frac{y}{x} } = 6 \: \: then \: prove \: that \: \frac{dy}{dx} = \frac{y}{x}$
​

Answer 1

Formula :

$\bold{ \red{\frac{d}{dx} ( \frac{u}{v} ) = \frac{v \: \frac{d}{dx}(u) - u \: \frac{d}{dx} (v)}{ {v}^{2} }} }$

Solution refer to the attachment

Answer 2

Step-by-step explanation:

$\huge\underline\yellow{\sf Answer :-}$

Check the attached picture!