Question

derivatives of implicit function. √x+√y=√0​

Answer 1

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wrong

question

Answer 2

Answer:

√x+√y=√0

Differentiate with respect to x

$\frac{1}{2 \sqrt{x} } + \frac{1}{2 \sqrt{y} } \frac{dy}{dx} = 0 \\ \frac{1}{2 \sqrt{y} } \frac{dy}{dx} = - \frac{1}{2 \sqrt{x} } \\ \frac{dy}{dx} = - \frac{ \sqrt{y} }{ \sqrt{x} }$