WEBVTT
1
00:00:00.540 --> 00:00:02.220 A:middle L:90%
Hey, it's Claire. So when you married here
2
00:00:02.609 --> 00:00:05.950 A:middle L:90%
have to note that parallel lines have equal slope.
3
00:00:06.669 --> 00:00:11.109 A:middle L:90%
So we have three X minus y this equal to
4
00:00:11.109 --> 00:00:16.210 A:middle L:90%
five. This becomes why is equal to three X
5
00:00:16.230 --> 00:00:23.570 A:middle L:90%
minus five. So the slope is three. You
6
00:00:23.570 --> 00:00:28.589 A:middle L:90%
have. Why is equal to one plus two e
7
00:00:28.589 --> 00:00:33.950 A:middle L:90%
to the X minus three X. We're gonna differentiate
8
00:00:35.340 --> 00:00:41.740 A:middle L:90%
. We get to eat the X minus three we
9
00:00:41.740 --> 00:00:44.310 A:middle L:90%
have to solve. When this is equal to three
10
00:00:46.039 --> 00:00:49.469 A:middle L:90%
. So X becomes equal to Ln of three.
11
00:00:51.359 --> 00:00:55.460 A:middle L:90%
Access equal to Ellen of three. You have why
12
00:00:55.469 --> 00:01:00.320 A:middle L:90%
is equal to one plus two e the L one
13
00:01:00.320 --> 00:01:07.709 A:middle L:90%
of three minus three l one of three just equal
14
00:01:07.719 --> 00:01:15.230 A:middle L:90%
to seven minus three. Ellen three. So there's
15
00:01:15.230 --> 00:01:19.329 A:middle L:90%
a tension that l and three comma seven minus three
16
00:01:19.329 --> 00:01:25.489 A:middle L:90%
Ellen of three. So the equation of the tangent
17
00:01:26.840 --> 00:01:30.680 A:middle L:90%
becomes set. Why minus seven minus three. Ellen
18
00:01:30.680 --> 00:01:38.439 A:middle L:90%
of three over X minus Ellen of three. Equal
19
00:01:38.439 --> 00:01:44.459 A:middle L:90%
three. And why becomes equal to three X minus
20
00:01:44.459 --> 00:01:48.609 A:middle L:90%
six? Well, end of three plus seven.
21
00:01:53.439 --> 00:02:05.019 A:middle L:90%
We're going to make a sketch says why x So
22
00:02:05.019 --> 00:02:15.139 A:middle L:90%
we have why, for one plus two. Eat
23
00:02:15.150 --> 00:02:20.680 A:middle L:90%
the X minus three x Well, look, something
24
00:02:20.680 --> 00:02:30.689 A:middle L:90%
like this. Then we have our tangent in red
25
00:02:35.939 --> 00:02:40.330 A:middle L:90%
and then three x minus y equals five for our
26
00:02:40.330 --> 00:02:43.360 A:middle L:90%
blue are green.