Question

if √x+√y=10 then show that dy/dx+√y/x=0
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Answer 1

Answer:

Here is the proof.

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Answer 2

Step-by-step explanation:

$\sqrt{x} +\sqrt{y}=10$

Differentiating with respect to x both side-

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

Multiply both side with $2\sqrt{y}$-

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

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

Hence Proved