Suppose the derivative of $f$ exists, and assume that $f(1) = 2$, and $f'(1)=3$. Let $g(x)=x^2 f(x)$, and $h(x) = \frac{f(x)}{x-0}$.

a) $g'(1) =$
Find the equation of the tangent line to $g(x)$ at $x=1$.
$y =$

b) $h'(1) =$
Find the equation of the tangent line to $h(x)$ at $x=1$.
$y =$