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.
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[@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.

[@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.

[@shaunikab7067]

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

[@fordnox7150]

excellent and easy explanation! Thanks!

[@nc8002]

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

[@induwarapramod6301]

I am sri lankan. great explanation

[@lagg2380]

This is so fascinating!

[@amritpanda]

very informative video. thank you sir

[@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☺☺👍

[@user-tl9bq7gd9v]

What a quick and rich summary

[@shivanisaini383]

Thank you sir for making it easy to understand.

[@mastermanral4899]

Thank you sir for solving my problem

[@happy2876]

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

[@krozo_arts5720]

Thank you sir!

[@filipubovic8868]

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

[@preetigupta6331]

Very nicely explained

[@richardbruno201]

Best explanation ever lol

[@ponmaster1113]

Very clear 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.

[@kareemelsokh]

Thank you alot ,was truly helpful

[@alessandropietro3285]

Great great video! A real Professor

[@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.

[@cluigik6362]

loved it

[@Stop-tech-bd]

Great❤

[@rockk3y413]

Thank you very much!

[@verdaylkloss4844]

🤩 wow! Thank you, kind sir

[@gr4707]

Thank you!

[@thando99hlatswayo53]

Thank You Sir ❤

[@ssrwarrior7978]

Thank you so much...

[@Reddit_roast]

Jack black's long lost brother

[@poorianaji3706]

thanks sir♥♥♥

[@helloguy1179]

Thanks professor

[@monishrules6580]

Thanks❤

[@108Irvine]

Good one - Thank you

[@yesminnahar6842]

Loved it 🥰🥰

[@kumaramar1995]

Fantastic

[@abuboimofo6605]

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

[@Zakariah1971]

Who outside engineering would need this?

[@emilianochavez1020]

Thank

[@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)

[@kishoraryal663]

Naicee🤩

[@jacobhouston1655]

Still confusing.

[@K___R]

I mean it made it less confusing at least

[@epimaths]

Về hàm số bậc hai.....

[@shubhammaurya405]

🙏जय श्री राम 🙏

[@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

[@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!