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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
and values, there will be infinitely many ways to make the denominator equal to .
But only some (or one) of those ways fit the given curve.