### Home > APCALC > Chapter 7 > Lesson 7.1.4 > Problem 7-43

7-43.

Consider the equation . Homework Help ✎

Show that

. Use implicit differentiation.

Determine the

*x*-coordinate of each point on the curve where the tangent line is vertical.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.