00:01
In this problem, we are given two different functions in two different questions with respective points of interest.
00:09
Now we are going to find the slope of the tangent lines and its equation to the graphs of these functions.
00:20
The first one is f of x equal to x squared minus one and the point of interest is x equal to minus one.
00:29
So the equation of the tangent line is of the form where with y equal to mx plus b.
00:39
So m here is the slope of the tangent line and it is given by the derivative of this function at this point of interest.
00:48
So we have 2x evaluated at this point minus one.
00:53
So we get minus two.
00:55
So this is the slope of the tangent line.
00:58
Let's continue.
01:00
We have y equal to minus 2x plus b.
01:04
We know that when x is equal to minus one, y should be equal to f of minus one, which is equal to zero.
01:17
So this gives us b equal to minus two...