What the Second Derivative Tells Us

[@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!!

[@Victor-tl4dk]

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

[@mathfx5733]

Great explanation, keep going on it!

[@MridulBoroMCY]

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

[@srinijabhogoju9033]

Wow wonderful explanation sir. You are a wonderful teacher too

[@violetstream_wa]

Amazing explanation! I was a bit confused by this concept in my math class, but you explained it really well, thank you!

[@nc8002]

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

[@shaunikab7067]

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

[@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

[@Kleyana]

Thanks for the detailed explanation.

[@fordnox7150]

excellent and easy explanation! Thanks!

[@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☺☺👍

[@CecilPonsaing]

What a quick and rich summary

[@lagg2380]

This is so fascinating!

[@amritpanda]

very informative video. thank you sir

[@induwarapramod6301]

I am sri lankan. great explanation

[@shivanisaini383]

Thank you sir for making it easy to understand.

[@ponmaster1113]

Very clear explanation! Thank you!

[@filipubovic8868]

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

[@mastermanral]

Thank you sir for solving my problem

[@happy2876]

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

[@preetigupta6331]

Very nicely explained

[@solimanel-deeb8922]

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

[@alessandropietro3285]

Great great video! A real Professor

[@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!

[@yongjinzeng8110]

Thank you. I understand the reasoning now.

[@kareemelsokh]

Thank you alot ,was truly helpful

[@ssrwarrior7978]

Thank you so much...

[@rockk3y413]

Thank you very much!

[@thando99hlatswayo53]

Thank You Sir ❤

[@gr4707]

Thank you!

[@Stop-tech-bd]

Great❤

[@richardbruno201]

Best explanation ever lol

[@108Irvine]

Good one - Thank you

[@verdaylkloss4844]

🤩 wow! Thank you, kind sir

[@cluigik6362]

loved it

[@helloguy1179]

Thanks professor

[@monishrules6580]

Thanks❤

[@kumaramar1995]

Fantastic

[@yesminnahar6842]

Loved it 🥰🥰

[@poorianaji3706]

thanks sir♥♥♥

[@Reddit_roast]

Jack black's long lost brother

[@abuboimofo6605]

So basically the second derivative is useful to have an idea about the whether the point is local minima or maxima

[@emilianochavez1020]

Thank

[@kishoraryal663]

Naicee🤩

[@Zakariah1971]

Who outside engineering would need this?

[@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)

[@Mathskylive]

Về hàm số bậc hai.....

[@shubhammaurya405]

🙏जय श्री राम 🙏

[@jacobhouston1655]

Still confusing.

[@K___R]

I mean it made it less confusing at least

[@dizoner2610]

Топ

[@rikkoo]

Big boi stuff

[@anilkumarsharma8901]

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

[@PlaceYourChariotsUpHigh]

What do you mean bigger?

[@anilkumarsharma8901]

@@PlaceYourChariotsUpHigh 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?

[@jackireland4578]

Great explanation, thank you!

[@sairaj6875]

Thank you so much!