Consider the curve formed by the equation xy2 − x3y = 12. Homework Help ✎
Find the x-coordinate of each point on the curve where the tangent line is vertical.
Use implicit differentiation.
A tangent line will be vertical where the denominator of the derivative = 0.
Since the denominator has both x and y values, there will be infinitely many ways to make the denominator equal to 0.
But only some (or one) of those ways fit the given curve.