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**r2d2** Let $\displaystyle f$ and $\displaystyle g$ be differentiable functions with the following properties:

I. f(x) < 0 for all x

II. g(5)=2

If $\displaystyle h(x) = f(x)/g(x)$ and $\displaystyle h'(x)=$ $\displaystyle f'(x)/g(x)$, then $\displaystyle g(x)$

I started by taking the derivative of h(x) and set it equal to h'(x) but I cant seem to get g(x) by itself. Been working on it for hours, and can't seem to get it right. Anyone know how to solve this tricky problem?

Thanks!