00:01
Well, the theme in this problem is that we're doing the tangent line.
00:05
And anytime we need a tangent line, we need the point and the slope.
00:12
And let's see we're doing 3x squared at 1 .3.
00:19
So the order of pairs at 1 .3.
00:22
The function we're talking about is 3x squared.
00:27
And to find the slope, what we actually have to do is do the derivative and plug in 1 for x.
00:32
So it's probably to your benefit to actually figure out what x plus h is equal to.
00:40
And this is following that four -step process.
00:42
I'm probably going to combine a few steps, though, because remember, multiplying x plus h times x plus h is the same thing as x -plus -h squared.
00:51
So we're looking at three of x squared, and then we would have had two x -h.
00:59
But then when we distribute that three in there, it would be six x -h.
01:03
And then we would end up with 3h squared...