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 - Introduct...
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
_____________________________
Extreme Value Theorem:
• Extreme Value Theorem
Finding Critical Numbers:
• Finding Critical Numbers
Local Maximum & Minimum:
• Finding Local Maximum ...
Absolute Extrema:
• Finding Absolute Maxim...
Rolle's Theorem:
• Rolle's Theorem
________________________________
Mean Value Theorem:
• Mean Value Theorem
Increasing and Decreasing Functions:
• Increasing and Decreas...
First Derivative Test:
• First Derivative Test
Concavity & Inflection Points:
• Concavity, Inflection ...
Second Derivative Test:
• Second Derivative Test
_________________________________
L'Hopital's Rule:
• L'hopital's rule
Curve Sketching With Derivatives:
• Curve Sketching - Grap...
Newton's Method:
• Newton's Method
Optimization Problems:
• Optimization Problems ...
_______________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/Y2bIY5aLga5mfpo Final Exams and Video Playlists: www.video-tutor.net/

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[@asifsal7124]

Please make a video on how to find a polynomial of a graph.

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a step-by-step analysis of Curve Sketching in Calculus One. From Graphing Functions Using Derivatives over the years, I found this topic problematic in Calculus One. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

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Is this the same for rational functions?

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can u help me how to curve when the derrivatives is not factorable?

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Is math correct when plugged in -2/3? When he did the powers

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[@randos_tortas7773]

for the second graph which points would be considered the points of inflection?

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[@baraayahya6069]

Thank you very much , great job really but i couldn't help notice that you made a mistake that the function less than x=-3 is down the x-axis not above that and thanks

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[@Web3_Titan]

I don't really get the second example where he placed -4/5 before 0 on the x-axis. Thanks Organic chem for this vid❤

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what are the inflection points

[@btsmochimi7924]

the points where concavity changes

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