00:01
Hey guys, how's it going? in this problem, we're going to be graphing the function and its tangent line at the point 0 .01.
00:10
So to do this, i will be using this graphing calculator at this side here.
00:15
So we have the function g of x equals e to the negative x, and we want to find the graph here, which we have, and we want to look at the equation to the line tangent.
00:28
So let's take the derivative.
00:31
We have the derivative of g of x, e to the negative x.
00:40
That will be negative e to the negative x.
00:44
Since the derivative of negative x is negative 1, times the original function e to the negative x.
00:50
So we have this function here, g of x equals negative e to the negative x.
00:57
We want to solve this at our point 0.
01:02
To find the slope.
01:04
So let's find the slope.
01:07
Set that equal to 0.
01:09
So we have negative e to the negative 0.
01:11
That will be 1.
01:15
Negative 1, excuse me...