00:01
Ok, so in this exercise we have our vector field f defined by 10x minus 7y comma negative 7x plus 2y.
00:13
Perfect.
00:15
Ok, we need to find out whether this vector field is conservative or not.
00:23
Well, how can we do this? this is pretty easy.
00:27
Let me call this coordinate of our vector field fy and this coordinate fx.
00:34
Now let's compute the partial derivative of fy with respect to x.
00:39
This one is negative 7.
00:42
Now let's compute the partial derivative of fx with respect to y.
00:47
This one is negative 7.
00:50
So since this one is equal to this one, our vector field is conservative.
00:54
Ok, now let's find the potential function for f.
01:02
Well, this is going to be pretty easy...