Curve Sketching: Odd Polynomial Functions

In this video, you will learn about sketching odd polynomial functions graph. Chapters: 00:00 Intro 00:29 Sketch f(x)=x^3-3x+2 00:31 y-intercepts 01:14 x-intercepts 02:14 Synthetic division 04:51 Critical points 06:29 Intervals of decrease/increase 08:01 Concavity 09:26 Inflection points 09:58 Relative extrema 11:53 Sketch the graph Calculus 1 Playlist: https://www.youtube.com/playlist?list=PL3Kq77Wcurj4UGYSvjIrKrwkXA2hculy7 Chapter 1. Functions, Limits and Continuity ======== * Finding Domain: https://youtu.be/JMK9yfbRimQ - Domain for polynomials: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=16s - Domain for rational functions: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=419s - Domain for radicals functions: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=634s - Domain for log functions: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=1117s - Domain for exponential functions: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=1439s * Computing Limits: https://youtu.be/KEph8v1ItI4 - Limits of Indeterminate Form of Type of 0/0: https://youtu.be/pS6_7VXdpC0 - Limits at Infinity: https://youtu.be/DKU0MgRieDE - Limits at Infinity - Polynomials: https://youtu.be/D6pPZssF83E - Limits at Infinity - Rational: https://youtu.be/sjoTcvOMwv0 - Limits at Infinity - Radicals: https://youtu.be/GaWgJZToVX4 - Limits - Indeterminate Form of Type Infinity - Infinity: https://youtu.be/x2YK9x4Mfc4 - Limits of Trigonometric Functions: https://youtu.be/SQd1wb9_LFE * Continuity: https://youtu.be/Uv1JjTcN1Ac Chapter 2. Differentiation ======== * Definition of Derivative: https://youtu.be/e7-VzIDD55E * Chain Rule: https://youtu.be/uv7oXwDQu38 * Implicit Differentiation: https://youtu.be/yy2Kvftg72k * Equation of Tangent Line: https://youtu.be/6ipZtHYsts4 * Local Linear Approximations and Differentials: https://youtu.be/3SRzaW1Ehh0 * The Mean-Value Theorem for Integrals: https://youtu.be/PC8WcOoyTP4 Chapter 3. Applications of Differentiation ======== * Related Rates: https://youtu.be/GxgZw69oAoo * Critical Points: https://youtu.be/hwB-Tzf8SIg * Increasing and Decreasing Functions: https://youtu.be/xVQ4IopvWpM * Concavity and Inflection Points: https://youtu.be/Jt4NHv9xpIE * Relative Maxima and Minima: https://youtu.be/NZ3TF8zhu9w * Vertical and Horizontal Asymptotes: https://youtu.be/rlLFyV0hpjs * Sketch Even Polynomial Graphs: https://youtu.be/OOcPAZh1gOY * Sketch Odd Polynomial Graphs: https://youtu.be/wESJVtdQGs8 * Sketch Rational Graphs: https://youtu.be/MPgUjXdVTno * Maximum and Minimum Values: https://youtu.be/VJOWO4dBC7M * Application of Maximum and Minimum Values: https://youtu.be/ax4dZsDAQWI * Rolle's Theorem; Mean Value Theorem: https://youtu.be/LdtB6YDqDB8 Chapter 4: Integration ======== * The Indefinite Integrals: https://youtu.be/lR1oHFUQBUo * Integration by Substitution: https://youtu.be/P_BX-VNpsLI * Definite Integral: https://youtu.be/zRIGz_i-E6Y * The Mean Value Theorem for Integrals: https://youtu.be/PC8WcOoyTP4 * The Second Fundamental Theorem of Calculus: https://youtu.be/mC1fSsEehis * Evaluating Definite Integrals by Substitution: https://youtu.be/hDcyGDdj-NM Chapter 5: Applications of Integration ======== * Area Between Two Curves: https://youtu.be/a7weKV6T0TA #calculus #differentiation #graph