Question

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

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)

$slope=\frac{2-0}{0--6}$$slope=\frac{2}{6}$$\boxed{slope=\frac{1}{3}}$

which is our answer!