It looks like there may be a typographical error in the expression you provided, specifically with the term "y(sqrt(x=1))=4". Based on standard notation, it could mean several things, but I'll assume you want to differentiate an equation involving \( y \) and \( x \). Could you clarify whether you meant:

- \( y(\sqrt{x+1}) = 4 \)?
- \( y(\sqrt{x-1}) = 4 \)?
- Something else?

Once clarified, I'll guide you through finding \( \frac{dy}{dx} \).

This detailed guide helps you solve for dy/dx in the equation y(sqrt(x-1)) = 4 using implicit differentiation. Learn how to apply the chain rule and differentiate square root functions, ideal for advanced calculus students in Grades 11-12.

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