00:01
So we're looking at a tangent line problem.
00:04
Anytime you have a tangent line problem, you need a point and a slope.
00:09
And all they tell you in this problem is that the x coordinate is 1.
00:14
So we know that x is 1.
00:16
We don't know what y is, and the slope is the derivative when x is 1.
00:20
That's how we find the slope with that tangent line.
00:23
So let's look at the equation.
00:25
It's 5e to the x.
00:28
That's what f of x is defined as.
00:30
So the first step is to find what the y coordinates.
00:33
Is when x is 1, well, e to the first power is just e.
00:38
So the y coordinate would be five times e...