00:01
Hello, i have a question.
00:02
We say that find all points on the curve 3xy square.
00:06
Curve is 3xy square minus 18 x square y equal to 1, but it has a horizontal tangent line.
00:15
Okay, so let us find first the slope of tangent because for horizontal tangent line, slope of tangent should be 0.
00:26
So differentiate implicitly 3 u .b, that is product line.
00:31
Law x into 2y divide by d x plus y squared minus 18 2x 2x plus x squared die by d x should be equal to 0 so 6x y or dividing both sides by 3 get cancelled out 2x y die die by d x x plus y minus 12xy minus 6x squared, d .y by dx should be equal to 0.
01:21
2xy minus 6x squared, dy by dx equal to 12xy minus y squared.
01:33
So dy by d x equal to 12xy minus y squared.
01:40
By 2xy minus 6x square...