00:01
Okay, so we want to find the slope of our tangent line given our x value.
00:05
Well, in this problem, we're given that our x value is equal to 4.
00:09
So what does that mean? well, that means our a value is 4.
00:14
So we want to use this equation here to find our slope.
00:18
So we need f of x and f of a.
00:20
Well, we're given f of x, so let's find f of a.
00:23
We said that a was 4, so we get 2 over 4, which is equal to 1 1⁄2.
00:30
And now let's also write out x minus a.
00:32
That's equal to x minus 4.
00:36
Okay, so let's rewrite our following equation here.
00:38
So we have the limits as x approaches a, which is 4, of f of x, that's 2 over x minus 1 half, all over x minus 4...