Calculus 4.5 An Algorithm for Curve Sketching

A final word on curve sketching where I review all of the key elements of finding the characteristics of a function; s and y intercepts, domain, vertical asymptotes, horizontal asymptotes, using the first derivative to find critical values, the first derivative test to determine if you have a minimum or maximum value, second derivative test as well, increasing and decreasing intervals. Using the second derivative to find points of inflection (if they exist) and also using the 2nd derivative to determine the concavity of the function.

[gurpreetkaur]

It's too great having you! Thanks a lot !!!

[mallickqamarraza]

Nice and effective lesson, it's helpful for me....

[plumwine]

thank you miss you made it clear!!!!Love you❤️

[kevinxie]

Hello Ms Havrot, in the function y = x raised to the power of 1/2, is the point (0, 0) a point of inflection? Thanks!

[amanvarghese]

Thank you Ms. Havrot. This unit is really tedious with all this writing 😅

[uzineat]

Hello ms.Havrot thats for the vid. I had a quick question, when finding critical numbers should I first check for when the function is equal to zero or when the function is undefined? or Both?

[maziam]

Thank you so much Ms! What would the range be for this function?

[Marvin-ustm]

All superheroes don't wear capes!

[yuhyuh]

Wouldn't the interval of increase be from (-infinity, - 2) U (2, infinity)? It's decreasing from (-2, 2)