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y=x+x−x+x−x+⋯ y = \sqrt{x+\sqrt{x-\sqrt{x+\sqrt{x-\sqrt{x+\cdots}}}}} y=x+x−x+x−x+⋯
If dydx∣x=3 \left. \dfrac{dy}{dx} \right|_{x=3} dxdy∣∣∣∣x=3 can be represented in the form ab \dfrac{a}{b} ba, where a,ba, ba,b are coprime positive integers, find a+b a + b a+b.
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