I am unsure how to solve this problem.
Find $$\frac{dy}{dx} f(x)g(y) = 2x + \ln(y) − 5$$ where $f$ is a differentiable function of $x$ and $g$ is a differentiable function of $y$.
I know to use implicit differentiation, however, I get this: $$f'(x)g(y) + f(x)g'(y) = 2 + \left(\frac{1}{y}\right)\frac{dy}{dx}$$ and am not sure where to go from here.
I will appreciate any help. Thank you!