Answer:
Tangent at (1,2) has value . And (-2, 4) is the point of intersection of horizontal tangent.
Step-by-step explanation:
Given curve equation,
To find tangent at (x,y)=(1,2) and point of intersection of horizontal tangent, differentiate (1) withrespect to x we get,
At (1, 2), tangent line is,
To find point of intersection of horizontal tangent we have to do,
Thus,
At x=0, y=0
but snce,
at (0,0) there exist a vertical tangent. And,
At x=-2, y=4.
Thus (-2, 4) is the point of intersection of horizontal tangent.