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This calculus video tutorial provides a basic introduction into curve sketching. it explains how to graph polynomial functions using the signs of the first derivative and the second derivative of a function. You need to identify the critical numbers and potential inflection points in addition to the concavity of the graph. You need to combine the sign charts of the first derivative and second derivative into one single sign chart using a number line. This will help you to get the right shape of the graph. It's helpful to identify any x-intercepts in the function as well as the y-coordinates of the relative maximum and relative minimum. This will help you to draw an accurate sketch. Introduction to Limits: • Calculus 1 - Introduction to Limits Derivatives - Fast Review: • Calculus 1 - Derivatives Introduction to Related Rates: • Introduction to Related Rates _____________________________ Extreme Value Theorem: • Extreme Value Theorem Finding Critical Numbers: • Finding Critical Numbers Local Maximum & Minimum: • Finding Local Maximum and Minimum Val... Absolute Extrema: • Finding Absolute Maximum and Minimum ... Rolle's Theorem: • Rolle's Theorem ________________________________ Mean Value Theorem: • Mean Value Theorem Increasing and Decreasing Functions: • Increasing and Decreasing Functions -... First Derivative Test: • First Derivative Test Concavity & Inflection Points: • Concavity, Inflection Points, and Sec... Second Derivative Test: • Second Derivative Test _________________________________ L'Hopital's Rule: • L'hopital's rule Curve Sketching With Derivatives: • Curve Sketching - Graphing Functions ... Newton's Method: • Newton's Method Optimization Problems: • Optimization Problems - Calculus _______________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: / collections