00:01
This question asks us to find the equation of the tangent line to the given curve at this point.
00:05
Y is 2x over x plus 1.
00:08
First things first, we're going to want to use the quotient rule to differentiate, and then we can plug into the tangent line equation.
00:16
This is the quotient rule.
00:17
I just wrote it out.
00:19
Y prime.
00:20
X plus 1 stays the same.
00:23
G, the derivative of 2x is 2, minus 2x, the derivative of x is 1, divided by g squared, which is x plus 1 squared.
00:34
This simplifies to 2 over x plus 1 squared.
00:38
Everything else cancels.
00:41
Okay, point slope form.
00:42
We're going to be using the form...