What is the equation of the line normal to # f(x)=e^(2x)/(e^x+4)# at # x=2#?
In point slope form it is
The slope of the tangent line is given by:
At the point where
So the slope of the normal line is
The equation of the line (in point slope form) through
Rewrite using algebra as you see fit. (Or as your grader demands.)