### Home > APCALC > Chapter 8 > Lesson 8.2.2 > Problem8-83

8-83.

Multiple Choice: If $x^2 -2xy = 8$, then when $x = 2$, $\frac { d y } { d x }=$

1. $-\frac { 1 } { 2 }$

1. $\frac { 1 } { 2 }$

1. $\frac { 3 } { 2 }$

1. $-\frac { 3 } { 2 }$

1. undefined

$\text{Becuase you will use implicit differentiation to find }\frac{dy}{dx},$

the derivative might have both $x$ and $y$ variables in it.
So be prepared for the final step: you will need to know what $y$-variable corresponds with $x = 2$ on the given graph.