# 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.

• 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
• Concavity
• Second derivative test for extrema
• Application of extrema to word problems
• Singular points
• Tangents at the origin
• Types of cusps
• Use of partial derivative

#### Solutions (Notes)

The following notes are shared by Mr. Shahid Javed.

The following notes are written by Prof. Shariq Mehtab Syed.

• bsc/notes_of_calculus_with_analytic_geometry/ch07_plane_curves_ii