What the Second Derivative Tells Us

Basics of Calculus Chapter 4, Topic 3-What the Second Derivative Tells Us
The second derivative gives us information about the shape of a graph, its concavity. A point of inflection is sometimes known as a point of diminishing returns in some applications.
See www.nofrillspublishing.com/cal... for all videos and information on taking this as an online course.

[@sreevinayakj2859]

Thank you so much professor. The best explanation on concavity and maxima and minima points that i found on youtube.

[@overclockedbeats7437]

Can’t believe John Hammond got into teaching!!

[@mathfx5733]

Great explanation, keep going on it!

[@srinijabhogoju9033]

Wow wonderful explanation sir. You are a wonderful teacher too

[@Victor-tl4dk]

Thank you! That was very interesting. I think the interest you showed in teaching really helped.

[@MridulBoroMCY]

thank you so much professor, i have understood the true essence of 2nd derivative and the concavity. really enjoyed. amazing explanation.

[@shaunikab7067]

Thanks for this video, it explained the second derivative test conceptually really well!

[@fordnox7150]

excellent and easy explanation! Thanks!

[@Kleyana]

Thanks for the detailed explanation.

[@lagg2380]

This is so fascinating!

[@nc8002]

omg. the way you explain is realllllllly goood!! got all my points cleared. tysm!!!

[@happy2876]

Thank you!!! That really helped me understand this!

[@ponmaster1113]

Very clear explanation! Thank you!

[@shivanisaini383]

Thank you sir for making it easy to understand.

[@jackireland4578]

Great explanation, thank you!

[@MightySapphire]

Concave up is known as convex (like the "v" in the word). We use these to classify our characterizations. You can also have convex with zero second partial derivatives (multivariable) which is a halfpipe and concave with zero second partial derivatives (multivariable) which is a tunnel.

[@krozo_arts5720]

Thank you sir!

[@filipubovic8868]

I wish I had seen this earlier. Thank you so much you are great!

[@alessandropietro3285]

Great great video! A real Professor

[@kareemelsokh]

Thank you alot ,was truly helpful

[@mastermanral4899]

Thank you sir for solving my problem

[@yongjinzeng8110]

Thank you. I understand the reasoning now.

[@suyelahmed5395]

Hello sir if you are seeing this I want to say a very big thanks 😊...it helped me to understand it after struggling for 1 whole day

[@user-tl9bq7gd9v]

What a quick and rich summary

[@preetigupta6331]

Very nicely explained

[@rockk3y413]

Thank you very much!

[@sairaj6875]

Thank you so much!

[@108Irvine]

Good one - Thank you

[@gr4707]

Thank you!

[@solimanel-deeb8922]

Bro effortlessly you explained this whole concept...Good job prof! Put some more videos. Like and sub.

[@raunakbatra848]

Thank you so much sirrr❤❤... Im an jee dropper student and i was facing difficulty in this topic even learning this in my online lecture... But you cleared it in just 3 min... Hats off to u sir☺☺👍

[@ssrwarrior7978]

Thank you so much...

[@induwarapramod6301]

I am sri lankan. great explanation

[@helloguy1179]

Thanks professor

[@thando99hlatswayo53]

Thank You Sir ❤

[@verdaylkloss4844]

🤩 wow! Thank you, kind sir

[@Stop-tech-bd]

Great❤

[@richardbruno201]

Best explanation ever lol

[@monishrules6580]

Thanks❤

[@yesminnahar6842]

Loved it 🥰🥰

[@poorianaji3706]

thanks sir♥♥♥

[@kumaramar1995]

Fantastic

[@emilianochavez1020]

Thank

[@rikkoo]

Big boi stuff

[@kishoraryal663]

Naicee🤩

[@dizoner2610]

Топ

[@shubhammaurya405]

🙏जय श्री राम 🙏

[@Xlr8er2]

Problem I have is when X=1 the Y is negative. The words coming out of my bro’s mouth aren’t matching the graph 🧐 (confusion is around the second graph)

[@jacobhouston1655]

Still confusing.

[@K___R]

I mean it made it less confusing at least

[@anilkumarsharma8901]

How first derivative is bigger than second derivative Any particular difference between two???

[@nikitatodt4025]

What do you mean bigger?

[@anilkumarsharma8901]

@@nikitatodt4025 as we know first derivative have some degree but if we do it infinity time then it's become zero eventually so we can find out how much difference between the two derivative So this become a new power to whole universe 🤗🤗🤗🤗

[@smartex5651]

I cant believe be said 2x negative number equals negative

[@pratibhagadge3869]

So the second derivative is the rate of change of the rate of change of y w.r.t x

[@mathophile1912]

🤣😂

[@7yep4336dfgvvh]

What about the fifth derivative?