If `(x+y)^2=2a x y` , find `(dy)/(dx)`

Explanation

Given`(x+y)^{2}=2 axy`



Differentiating the equation on both sides with respect to `x`,
$$ \Rightarrow \frac{d}{d x}(x+y)^{2}=\frac{d}{d x}(2 a x y) $$
$$
\Rightarrow 2(x+y) \frac{d}{d x}(x+y)=2 a\left[x \frac{d y}{d x}+y \frac{d}{d x}(x)\right]
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