### Home > APCALC > Chapter 11 > Lesson 11.3.1 > Problem11-87

11-87.

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

1. $−1$

1. $0$

1. $1$

1. $2$

1. $4$

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

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