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.  

Introduction to Limits:                                
Calculus 1 - Introduction to Limits

Derivatives - Fast Review:                            
Calculus 1 - Derivatives

Introduction to Related Rates:                  
Introduction to Related Rates

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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

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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

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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

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