00:01
All right, so we're asked to find a tangeline.
00:03
As a reminder, if you're doing a tangent line, probably you need a point and a slope.
00:09
Well, all they tell you in this problem is that the x coordinate is one.
00:13
They don't even tell you the y coordinate, and then you have to find the derivative when x is one.
00:19
And so we can look at the function now, which is 2 plus e to the x.
00:26
That's the function they give you.
00:28
And the y coordinate don't be confused by this you're just plugging one in for x but e to the one power just leave it as e to the e to the e of the first is e so this as a whole is your y coordinate so then when we take the derivative so i'm doing this in blue well the derivative of a constant is zero so there's no need to write that down the derivative of the e to the x is e to the x so so then when i ask you to do f prime of 1, you're just plugging in 1 in for x.
01:03
Well, e to the first is e, just like what i mentioned before...