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

7-43.

Consider the equation .

Show that

. Use implicit differentiation.

Determine the

-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

. Since the denominator has both

andvalues, there will be infinitely many ways to make the denominator equal to.

But only some (or one) of those ways fit the given curve.