The figure shows the graph of f(x)=2+x/x+3, along with it's tangent line at the point (0,2). What is f'(0)?

Answer:
1/3
Explanation:
The derivative fo f(x) is at x = 0 is the slope of the tangent line at x = 0.
The slope of the tangent line is found using the two points (0,2 ) and (-6, 0)
[tex]slope=\frac{2-0}{0--6}[/tex][tex]slope=\frac{2}{6}[/tex][tex]\boxed{slope=\frac{1}{3}}[/tex]which is our answer!