Find an equation for the line tangent to the graph of

Question

f(x)= 2x / x+2

at the point (3, 1.2).

y=

Answer 1

There are two main things to try here:

1. Do you know how to find the equation of line given a point and the slope? You have a point: (3, 1.2). So, you need to find the slope. Which leads to...
2. Do you know how to find the derivative of the function? The slope of the tangent is the value of the derivative at x=3, or f'(3).

Give it a try!