Chapter 07: Plane Curves II
Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.
Contents and summary
- Asymptotes: A straight line $l$ is called an asymptote for a curve $C$ if the distance between $l$ and $C$ approaches zero as the distance moved along $l$ (from some fixed point on $l$) tends to infinity.
- Asymptotes of polar curves
- Maxima and Minima
- Second derivative test for extrema
- Application of extrema to word problems
- Singular points
- Tangents at the origin
- Types of cusps
- Use of partial derivative