Question

find values of a and b such that the function
f(x)=ax+b/x^2-1
has a local extreme value of 1 at x=3. is this extreme value a local maxima or minima?

Answer 1

\[f(x)=\frac{ax+b}{x^2-1}~~?\]

Answer 2

@nconley or is it
\[f(x)=ax+\frac{b}{x^2-1}~~?\]
or maybe
\[f(x)=ax+\frac{b}{x^2}-1~~?\]