00:01
During the curve, y is equal to x square and given the point zero comma one, we have to find out the minimum distance.
00:06
So let's use a distance formula.
00:08
We see, well, we know the distance formula.
00:11
So let's just put the values in.
00:12
We get zero and one, right? and since y is equal to x square, we replace y for the x square here.
00:19
So we get this inside the vertical, this expression x squared plus x squared plus x squared plus 1 minus 2x square.
00:26
Now what we do is we take the expression out and make this a function of x and we get something.
00:31
Like x -rays the bar 4 minus x squared plus 1.
00:34
Now to find the minimum, what we do is we differentiate the function and make it equal to 0.
00:42
And then we find the value of x.
00:44
So this is the function that we get after you differentiate it...