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.

[@mathfx5733]

Great explanation, keep going on it!

[@srinijabhogoju9033]

Wow wonderful explanation sir. You are a wonderful teacher too

[@overclockedbeats7437]

Can’t believe John Hammond got into teaching!!

[@MridulBoroMCY]

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

[@Victor-tl4dk]

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

[@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!!!

[@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☺☺👍

[@violetstream_wa]

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

[@lagg2380]

This is so fascinating!

[@induwarapramod6301]

I am sri lankan. great explanation

[@happy2876]

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

[@filipubovic8868]

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

[@shivanisaini383]

Thank you sir for making it easy to understand.

[@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.

[@preetigupta6331]

Very nicely explained

[@ponmaster1113]

Very clear explanation! Thank you!

[@amritpanda]

very informative video. thank you sir

[@CecilPonsaing]

What a quick and rich summary

[@mastermanral]

Thank you sir for solving my problem

[@alessandropietro3285]

Great great video! A real Professor

[@kareemelsokh]

Thank you alot ,was truly helpful

[@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.

[@solimanel-deeb8922]

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

[@yongjinzeng8110]

Thank you. I understand the reasoning now.

[@yesminnahar6842]

Loved it 🥰🥰

[@108Irvine]

Good one - Thank you

[@verdaylkloss4844]

🤩 wow! Thank you, kind sir

[@thando99hlatswayo53]

Thank You Sir ❤

[@richardbruno201]

Best explanation ever lol

[@ssrwarrior7978]

Thank you so much...

[@rockk3y413]

Thank you very much!

[@poorianaji3706]

thanks sir♥♥♥

[@helloguy1179]

Thanks professor

[@Stop-tech-bd]

Great❤

[@Reddit_roast]

Jack black's long lost brother

[@gr4707]

Thank you!

[@Zakariah1971]

Who outside engineering would need this?

[@cluigik6362]

loved it

[@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)

[@monishrules6580]

Thanks❤

[@abuboimofo6605]

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

[@kumaramar1995]

Fantastic

[@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???

[@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 🤗🤗🤗🤗

[@Mathokgood]

Về hàm số bậc hai.....

[@emilianochavez1020]

Thank

[@kishoraryal663]

Naicee🤩

[@shubhammaurya405]

🙏जय श्री राम 🙏

[@smartex5651]

I cant believe be said 2x negative number equals negative

[@dizoner2610]

Топ

[@rikkoo]

Big boi stuff

[@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!