OpenStudy (anonymous):

find any point (a,b) on the curve x^2+xy=2y-8 where the tangent line at the point is vertical?

4 years ago
OpenStudy (anonymous):

take the derivative and find where it is undefined

4 years ago
OpenStudy (anonymous):

$x^2+xy=2y-8$ $2x+y+xy'=2y'$ solve for $$y'$$

4 years ago
OpenStudy (anonymous):

$2x+y=2y'-xy'$ $2x+y=(2-x)y'$ $\frac{2x+y}{2-x}=y'$ undefined if $$x=2$$

4 years ago