Find all the ponts on the curve where the tangent line is horizontal. I've graphed it, i know the answer is but how do u get that mathematically?
Take the derivative:
The slope of the tangent is horizontal when
So the points where we have a 0 slope tangent are the points where the original function intersects the circle .
So is our condition we insert into the original relation.
You can solve this for the x and y values.