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

1/3

Step-by-step 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=(2-0)/(0--6)`
`slope=(2)/(6)`
`\boxed{slope=(1)/(3)}`

which is our answer!