00:01
We want to eliminate the arbitrary constant c here by taking the derivative of both sides.
00:06
But before we do that, we need to get the y squared over there.
00:10
So we get c equals x squared plus y over y square.
00:16
And i'm going to just leave it like that.
00:18
I'm going to take the derivative and use the quotient rule over there.
00:21
So derivative of c, zero.
00:24
Over here is the bottom times the derivative of the top, which would be 2x plus d, y, dx, minus the top x squared plus y, times the derivative of the bottom, which would be 2y, d, y, d, d x, all over the bottom squared, which i'm just going to multiply both sides by anyway, so i'm just not even going to write it...