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. Asymptote

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

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