CPM Homework Help : APCALC Problem 11-87

Multiple Choice: The slope of the curve $\frac { x } { x - 1 }+ xy = y^2 - 3x$ at $(2, 4)$ is:

Step 1:

$\frac{(x-1)-x}{(x-1)^2}+y+xy^\prime=2yy^\prime-3$

Step 2:

Substitute $\left(2, 4\right)$ into the equation from Step 1 and solve for $y′$ .