Curve Sketching With a Slant Asymptote - A Step by Step Example Using Calculus

This video presents four steps that can be used to graph a rational function. Those four steps are then applied to sketch the graph of a rational function with a vertical and slant (or oblique) asymptote. 0:00 - Introduction 1:13 - Step 1: Identify All Asymptotes 6:40 - Step 2: First Derivative and Critical Bumbers 16:15 - Step 3: Second Derivative and PPI 24:12 - Step 4: Sketch the Graph To graph a rational function you need to know how to apply the quotient rule, have an understanding of asymptotes, and know how to express intervals using interval notation. More information about these topics can be found below: Types of Asymptotes:    • Calculus - Curve Sketching - Types of Asym...   Finding Vertical Asymptotes:    • Calculus - Finding Vertical Asymptotes   Finding Horizontal Asymptotes:    • Calculus - Finding Horizontal Asymptotes   Finding Slant (or Oblique) Asymptotes:    • Calculus - Finding Slant (Oblique) Asymptotes   An Easy Way to Remember the Quotient Rule:    • The Quotient Rule Rhyme - An Easy Way to R...   Find a derivative with the Quotient Rule:    • Calculus - Using the Quotient Rule to find...   Finding a Second Derivative with the Quotient Rule:    • Calculus - Finding the Second Derivative o...   Using Interval Notation:    • Interval Notation   If you have any questions, feel free to ask in the comments section.