# 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?

×