Find the equation

Question

Find the equation of the line tangent to y= (1+x)/ (1+e^x) at (0, 1/2) using point-slope form.

Answer 1

dy/dx=(xe^x+1)/(1+e^x)^2

use x=0 to find the slope of the tangent line

"m" = replace "x" with "0" in the above equation

use the following equation to find tangent line

y-y₁=m(x-x₁)

replace x_{1 ,} y_{1 and "m" with known values and solve}