Answer
$f'(1) = \frac{3}{2}$
Work Step by Step
$f'(1)$ equals the slope of the tangent line which passes through $(1,2)$.
Given that the tangent line passes through (1,2) and (-1,-1), we find that, $f'(1) = \frac{\Delta y}{\Delta x} = \frac{2-(-1)}{1-(-1)} = \frac{3}{2}$
