Curve Sketching Example ❖ Calculus

This video goes through 1 example of Curve Sketching typically found in a Calculus 1 course. 1st Derivative Test and 2nd Derivative Test are used, along with intercepts and asymptotes.
#mathematics #calculus #curvesketching
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STEM Project in Calculus: bit.ly/2noq0bq
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[@PYROxFUSION]

This was the clearest example I've ever seen. I'm going to use your method of organizing the parts of the problem. So much easier than what I was doing. You're the best!

[@ColesWorldofMathematics]

Thanks so much!

[@Raniaska0306]

My TA explained the same exact question and I had no idea what he was talking about, now watching your video, everything seems to make a lot of sense now, thank you so much!

[@faisalmohamed4595]

I have calc1 final after 30 minutes and you helped me to understand this !! Thanx❤

[@ColesWorldofMathematics]

You're welcome! Glad it helped!

[@woosal-kc7tr]

Thanks for such beautiful explanation. Got a midterm exam tomorrow including this question, hope will achieve it!

[@ColesWorldofMathematics]

Good luck!

[@OPP534]

thanks for walking through this. I love you

[@bumpyvids8142]

Thank you! I love your work! It makes math easy.

[@ColesWorldofMathematics]

Thanks. Glad my videos make math easy for you! Thanks for watching.

[@rain403]

Such a clear and amazing video. You earned my sub!

[@ColesWorldofMathematics]

Awesome! Thanks for watching, commenting, and the sub!

[@kittenyzmaismypatronus962]

Wonderfully explained! Thank-you!

[@ColesWorldofMathematics]

You’re welcome! Thanks for watching!

[@Ounii]

So helpful!

[@mallickqamarraza3659]

Nice organizational ability....helpful for me to understand sketching....

[@ColesWorldofMathematics]

Thank you so much 😀

[@experiencethebeats4217]

Thanks!!!!! Great job!

[@ColesWorldofMathematics]

Thanks. Please share with your friends.

[@whiskeywho]

Wow. This was the best video I've ever seen explaining this. Amazingly clear. How can I download the help sheet with the boxes to fill out, graph line, and x and y graph? Is it online somewhere?

[@ColesWorldofMathematics]

Thanks so much. I'm a little behind on replying to comments. Here's a link to the current graph I am using. It might be slightly different than in the video, I continually make changes to the resources I use. bit.ly/3xSQ5TH

[@yonaswjobn6182]

Thanks too😊

[@ColesWorldofMathematics]

Welcome 😊

[@haoding5970]

Thank You!

[@ColesWorldofMathematics]

You're welcome! Thanks for watching.

[@disciplinenepal5081]

Good

[@khamalbennett6843]

i was always told you weren't able to use those critical points because they weren't in the domain. However when i do this in quizzes i get them wrong. Now i see why

[@ColesWorldofMathematics]

So glad the video cleared that up for you! Thanks for watching.

[@kvngsimon]

can you please do more examples, especially with ln and trig graphs

[@ColesWorldofMathematics]

Super busy finishing up the school year, but I will work on that as soon as I have time.

[@mathematicaATD]

Nice explanation

[@ColesWorldofMathematics]

Thanks! Thanks for watching.

[@osamaabuhmmad7463]

Thanks alot u are amazing

[@ColesWorldofMathematics]

You’re welcome! Thanks for watching!

[@universityofghana-boysdeyt4591]

Wow thank you very much

[@ColesWorldofMathematics]

No problem! Thanks for watching.

[@royw7849]

omg you saved my life

[@ColesWorldofMathematics]

Awesome! Glad I could help!

[@bipanathapa3403]

plz give me the results of y= 3sinx

[@kvaparna9806]

Thanks a lot

[@ColesWorldofMathematics]

You're welcome! Thanks for watching.

[@atharvapote755]

sehr schön. Danke 👍

[@ColesWorldofMathematics]

Du bist herzlich Willkommen.

[@atharvapote755]

@@ColesWorldofMathematics 😁 sprechen Sie Deutsch? Happy to see your reply 😊

[@chiaolivian734]

But if denominator for the Horizontal asymptotes are not of the same power..

[@ColesWorldofMathematics]

See this video for more detailed explanation of asymptotes: kzbin.info/www/bejne/n5ecmoqAqJKSqLc

[@teruelryanpaul]

2:02 I dont think this is a 'little math' Jk, Iove your videos !!

[@PHILLYMEDIC69]

this video is a fucking gem

[@ColesWorldofMathematics]

Thanks! Glad you liked it.

[@PHILLYMEDIC69]

@@ColesWorldofMathematics i have a calculus final tmr and this type of problem is about 15-20% of the mark on the finals because it takes an eternity to finish.

[@inlovewithcooking1792]

how did you get 2nd derivative =((-60x^2) - 80)/((x^2)-4)^3 ....please send me its working. I'll be grateful.

[@clarkcallander144]

Im guessing you got (-60x^4 + 160x^2 + 320) / (x^2 - 4)^4 because thats what I got. What you can do is factor out an (x^2 - 4) from both the numerator and denominator, and you will get what she got. Even if you don't do this, you should manage to get the same inflection points.

[@inlovewithcooking1792]

@@clarkcallander144 thanks

[@ColesWorldofMathematics]

@Clark Callander Thanks for replying to @Maryam Javed. I'm definitely behind in replying to comments on my channel. Attempting to catch up today! Thanks again @Clark Callander.

[@ashleydalusma3140]

COULD YOU PLEASE ANSWER MY COMMENT .. COULD YOU DO A PROB AND STATS SERIES ON FINDING Z - SCORES ? :)

[@ColesWorldofMathematics]

See your previous question. I also replied to your email. Good luck.

[@ashleydalusma3140]

Cole's World of Mathematics thank you !!!

[@ashleydalusma3140]

Thank you so much Mrs. Cole also I will be waiting for the video cant wait !! :)

[@ColesWorldofMathematics]

Here is a video on z-scores & probability. kzbin.info/www/bejne/ZmqsgaSfmN14hrc

[@omerozturk7424]

Thankss

[@ColesWorldofMathematics]

You're welcome! Thanks for watching.

[@somedifferentthink3286]

😀

[@ColesWorldofMathematics]

Thanks!

[@johnemberado194]

Lmao I like your accent. Negadive two.