00:01
We need the tangent to the curve, and the curve is y equals x squared minus 1 over 3x.
00:16
So, quotient rule, denominator times derivative of the numerator, derivative of the numerator is 2x, minus numerator times derivative of the denominator, which is just 3, over denominator squared.
00:42
Add x equals 2, well, let's go ahead and simplify this a little bit.
00:51
3 times 2 is 6.
00:53
So 6x squared minus 3x squared is 3x squared plus 3 over 3x squared.
01:13
Substitute in a 2, and i get 3 times 2 squared.
01:23
Well, 2 squared is 4, 4 times 3 is 12.
01:26
Plus 3 is 15.
01:28
So the numerator is 15.
01:33
3 times 2 is 6.
01:39
6 squared is 36.
01:41
Dividing by 5.
01:43
I mean by 3, i get 5 12th.
01:51
Determine the equation...