Find the equation of the tangent line to the graph of f(x)= 1/(x-1) at the point (2,1)?

Question

2. Find the derivative: g(x)=arcsec x/2

A) x+y+3=0
B) x-y=1
C) y-1= (x-2)/(x-1)^2
D) x+y=6
E) None of these

The multiple choice are to the first question

Answer 1

dy/dx = -1(x-1)^2 = -1 at (2,1).
So y=-x+b
1= -2 + b
b= 3
So y = -x+3

-.5sqrt(1-(x/2)^2))