Find an equation of the tangent line to the given curve at the specified point. y = 2x/ x + 2 , (2, 1)

Step-by-step explanation:

Take the derivative of 2x/(x+2) using the quotient rule.

you get 4/(x+2)^2. The slope of the tangent line is this functions value at 2.

4/(2+2)^2 = 1/4

Now solve for b when by plugging x and y into y = 1/4x + b

1 = 1/2 + b

b = 1/2

The tangent line is y = 1/4x + 1/2

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation: