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!!

[@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!

[@nc8002]

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

[@Kleyana]

Thanks for the detailed explanation.

[@fordnox7150]

excellent and easy explanation! Thanks!

[@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

[@lagg2380]

This is so fascinating!

[@violetstream_wa]

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

[@happy2876]

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

[@shivanisaini383]

Thank you sir for making it easy to understand.

[@induwarapramod6301]

I am sri lankan. great explanation

[@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☺☺👍

[@ponmaster1113]

Very clear explanation! Thank you!

[@CodeMathsPhysics]

First Derivative explains the instantaneous rate of growth of dependent variable wrt independent variable, whereas second derivative explains transformation of curvature of curve at each point.

[@CecilPonsaing]

What a quick and rich summary

[@filipubovic8868]

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

[@preetigupta6331]

Very nicely explained

[@amritpanda]

very informative video. thank you sir

[@mastermanral]

Thank you sir for solving my problem

[@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.

[@alessandropietro3285]

Great great video! A real Professor

[@kareemelsokh]

Thank you alot ,was truly helpful

[@yongjinzeng8110]

Thank you. I understand the reasoning now.

[@solimanel-deeb8922]

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

[@rockk3y413]

Thank you very much!

[@richardbruno201]

Best explanation ever lol

[@thando99hlatswayo53]

Thank You Sir ❤

[@ssrwarrior7978]

Thank you so much...

[@108Irvine]

Good one - Thank you

[@verdaylkloss4844]

🤩 wow! Thank you, kind sir

[@gr4707]

Thank you!

[@yesminnahar6842]

Loved it 🥰🥰

[@helloguy1179]

Thanks professor

[@Stop-tech-bd]

Great❤

[@poorianaji3706]

thanks sir♥♥♥

[@kumaramar1995]

Fantastic

[@cluigik6362]

loved it

[@monishrules6580]

Thanks❤

[@Reddit_roast]

Jack black's long lost brother

[@emilianochavez1020]

Thank

[@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
🤗🤗🤗🤗

[@kishoraryal663]

Naicee🤩

[@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

[@shubhammaurya405]

🙏जय श्री राम 🙏

[@Zakariah1971]

Who outside engineering would need this?

[@Mathskylive]

Về hàm số bậc hai.....

[@abuboimofo6605]

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

[@dizoner2610]

Топ

[@rikkoo]

Big boi stuff

[@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!