AP® Precalculus · Unit 4 · Topic 4.5
How x and y Vary Together
Watch it explained
- How it worksHow does the sign of the ratio of small changes tell you whether the curve rises or falls?
- Worked exampleShow me where the ellipse x²/9 + y²/4 = 1 has vertical tangents and where it has horizontal ones.
- Going furtherWhat happens at a point where the rate of change of x with respect to y is zero?
Check yourself
Your turn1 of 2
For x2/82 + y2/72 = 1, solve for the positive branch of y, as a function of x.End of topic.