00:01
Alright, this equation, this problem is asking you to find the equation of the tangent line to the curve at the given point.
00:07
So the curve is 2e to the x plus x.
00:12
And if i want the equation of the tangent line, i'm first going to have to find the slope of that tangent line, which means derivative.
00:18
2e to the x is just a constant multiple rule, so we'll take 2 times the derivative of e to the x.
00:24
Well, nicely, the derivative of e to the x is e to the x.
00:28
The derivative of x is 1.
00:31
Now, they gave us a coordinate because i need the slope at 0, right? so i want that derivative at 0.
00:42
So i plug in 0 for x.
00:46
E to the 0 power is 1.
00:49
2 times 1 is 2.
00:51
2 plus 1 is 3...