Curve Sketching - Graphing Functions Using Derivatives | Calculus

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.

Derivative Applications - Free Formula Sheet:
https://www.video-tutor.net/calculus-formula-sheets.html

Calculus 1 Final Exam Review:
https://www.youtube.com/watch?v=WmBzmHru78w

Final Exam and Test Prep Videos:
https://bit.ly/41WNmI9

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Introduction to Limits:
https://www.youtube.com/watch?v=YNstP0ESndU

Derivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0w

Introduction to Related Rates:
https://www.youtube.com/watch?v=I9mVUo-bhM8

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Extreme Value Theorem:
https://www.youtube.com/watch?v=Sx2lPZlnWfs

Finding Critical Numbers:
https://www.youtube.com/watch?v=Bp9EbV3COVA

Local Maximum & Minimum:
https://www.youtube.com/watch?v=WCq3sRzsJfs

Absolute Extrema:
https://www.youtube.com/watch?v=3wrXDw5ETh4

Rolle's Theorem:
https://www.youtube.com/watch?v=LHym1ARc2cE

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Mean Value Theorem:
https://www.youtube.com/watch?v=SL2RobwU_M4

Increasing and Decreasing Functions:
https://www.youtube.com/watch?v=Dyl7jPlJXOM

First Derivative Test:
https://www.youtube.com/watch?v=G5wlKltW7pM

Concavity & Inflection Points:
https://www.youtube.com/watch?v=OhqNbQi9QPk

Second Derivative Test:
https://www.youtube.com/watch?v=G8GAsYkZlpE

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L'Hopital's Rule:
https://www.youtube.com/watch?v=Gh48aOvWcxw

Curve Sketching With Derivatives:
https://www.youtube.com/watch?v=JTVNUdL7sWs

Newton's Method:
https://www.youtube.com/watch?v=-5e2cULI3H8

Optimization Problems:
https://www.youtube.com/watch?v=lx8RcYcYVuU

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