00:01
We have the following function.
00:03
F of x is equal to 1 over x minus 1.
00:08
We need to find the tangent line to f of x at x sub 0 is equal to 2.
00:24
In order to find the tangent line, we first need to take the derivative.
00:29
I'll go ahead and do that in red.
00:31
So we have f prime of x.
00:35
The chain rule here.
00:38
And so we first need to take the derivative of this as follow as so.
00:47
So we need to take negative 1 over, and i'll rewrite this, negative 1 over x minus 1 all squared.
00:59
And then we need to take the derivative of the denominator.
01:03
And so that would be 1.
01:05
We just need to take the coefficients of the x term in x minus 1...