Implicit Integral

Calculus Level 3

\[\dfrac{dy}{dx} = \dfrac{3}{\dfrac{x}{y} + 2} - 2\]

Let \(f(x,y)\) be a graph with its derivative as shown above.

If the graph \(f\) passes through the point \((1,1)\), what is the maximum \(y\)-value on the graph?

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