# 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
- 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

#### Download or view online

- Solutions of Exercise 7.1 | Download PDF (1019KB) | View Online

- Solutions of Exercise 7.2 | Download PDF (1917KB) | View Online

- Solutions of Exercise 7.3 | Download PDF (1017KB) | View Online

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