Determine the equation of the tangent line to F(x) = (2 - x^2)/(1+x) at (0,2). write your answer in the form Y=mx+b?

1 Answer
Apr 17, 2018

y=-3x+2

Explanation:

y-y_1=m(x-x_1) is a formula.
m is the slope and its formula like that:
F^'(x) =m
So F'(0) = (2-x^2)/(1+x) = (-1(1+x)-(2-x^2))/(1+x)^2 = (-1-2)/1 = -3

we know y_1=2 from the point (0,2)

y-2=-3(x-0)
y-2=-3x
y=-3x+2