00:01
All right, so we want to find implicit differentiation to find the equation of the tangent line to the curve.
00:06
And the curve is x squared plus xy plus y squared equals 3.
00:14
All right, and we want to find it at the point 1, 1.
00:17
So first we've got to find dy over dx.
00:20
So let's take the derivative with respect to x, and we've got to use implicit differentiation.
00:24
Differentiation.
00:25
So here we just have 2x times dx over dx, which is 1.
00:31
Don't have to worry about that.
00:33
Plus, now we got to do the product rule.
00:37
So we're going to get the derivative of x is 1 times y plus x times dy over dx plus 2y dy over dx.
00:51
And the derivative of 3 is just 0.
00:55
All right.
00:55
So we need to find, now we need to solve this or set this equal to get dy over dx by itself.
01:04
So i'm going to subtract the 2x and the y over...