How To Find Max and Min Turning Points & The Second Derivative

Learn how to find the maximum and minimum turning points for a function and learn about the second derivative.

[@tiarnandunne8599]

Hey, thank you so much this really helped me! What helped the most was that you explained the little bits the books usually leave out.

[@easymath_]

No worries! Glad it helped :) Spread the word!

[@modhumondol9066]

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[@lulquiora8778]

perfect, and i like his reprimanding tone o voice, suits my slow-understanding and stupidity

[@theeverleinhour9616]

Hahaha

[@DarrenDIY]

bad quality video but high quality teaching, thanks a lot mate

[@TheOriginalJake]

Thanks so much! Really helped with my GCSE further maths

[@nottommy8008]

Great video. An easy-to-follow explanation not too long either. Really helped me with the topic.

[@kaduflutist]

Thank you a lot! So clear and helpful explanation. I was so glad when I came across this video lesson. Great job!

[@markwatson7986]

Very clear video, helped that you mapped it out on the graph step by step. good video thanks

[@high-flyer9061]

Thank you, man! You explain very well! Very helpful

[@adamroble7106]

Yes, Thank u! You said all i was looking for! Than man again that means a lot!

[@DK-mp5xf]

great work, easy to understand and v helpful for my exam thanks

[@ee-zm3hz]

Extremely helpful, thank you so much for your help! :')

[@rahulg.c4861]

Tomorow is my final exam, and by watching this vedio I am very clear about the concepts, thank you so much 😊

[@mattthompson8886]

That is an insane explanation

[@Jo-dp9pb]

Such a very good explanation....

[@hipstyhopsty2685]

Great revision :)

[@tajiakxng]

Great video, you helped me to understand it better than my teacher 😭

[@710Evan]

That was fantastic , keep going 👍

[@mery_lv_c]

Thank you this helped a lot.

[@dineshlakshitha1259]

super explanation thank you sooo much

[@jorgeramiroalarconvargas2580]

I had been out of university for 5 years and my memory has come back with your video thanks man you should have more 👍 up

[@newtonyalabu5310]

Thnk u you've really helped me out

[@factzandcode]

Realllly thank u sooooo much sir❤️

[@trishtrisha1152]

Thank you so much 🤩😇

[@seenivasan6036]

Thank you so much to share .

[@xpierd8345]

This was the most helpful video I’ve seen. However try to use a wider screen so everything is clearer ok 👍🏻 😊

[@claraishungry501]

helped a ton :)

[@shameera-9461]

came from a book that puts the link of this video in...understood immediately

[@raeesadhorat2170]

Thank youu Thank youu! My brain was hurting and I had to watch like 7 different vids and this is by the BESTT!

[@obayedullah5151]

thanks brother u the man

[@ignitetuition5637]

All good man! Thanks for watching

[@mpineletlala2448]

This was really really really helpful. Thank you.

[@sujatam4372]

Thank youuu...

[@ezekielokoth]

Thanks much my honor 🙏

[@samwaterworth6302]

great vid keep it up

[@quizbend]

Thank you sir

[@irfandanial5932]

Thank you

[@moeshane9690]

it is really helpful. really thz man.really thz

[@easymath_]

That's awesome! Thanks for watching :) Hopefully soon i'll be releasing some more videos on Calculus!

[@bakadeinfinity5396]

Interesting 🙂

[@urdadgina4410]

Thank you so much for providing such an excellent and comprehensible class. I have learned a lot from it :-)

[@easymath_]

Thank you so much! Really glad this helped, my friend :) I hope to have more videos in the near future!

[@hamzakhan2239]

hey man you are doing a great job thanks alot:)

[@jeddle]

tt ff thank you so much! Glad it helped :)

[@codedummydev]

@@jeddle bruh ur not the creator

[@jeddle]

Markee F woops, this is my other account (English videos)!

[@ThatWookieGuy]

Really great video friend, thank you.

[@PankajKumar-kw7zx]

Good one

[@Bepisu]

Who else doing exams 😭

[@rustynipples7318]

Zion Wickham idk

[@kelvint.h1158]

Does the value of the second derivative related to the 'a' in a normal quadratic equation since the 'a' represents the shape of the curve whether its concave up or concave down?

[@easymath_]

Kelvin, thanks for the question. Good observation; the "a" in the quadratic function will be relevant in a couple of ways. Firstly, before even differentiating, it tells you the concavity of the parabola (positive a = concave up, and vice versa). Secondly, the value of a will be relevant to the extent of being a value that will multiply by 2 for the first derivative (x^2) and then the product of 2 and "a" being the constant for the second derivative. This means that if "a" was a number like 3, then 2 x 3 = 6 will be the second derivative for a quadratic function. So "a" multiplied by 2 will give you the constant second derivative for a quadratic function! E.g. f(x) = 3x^2 + 5x + 7 F'(x) = 6x + 5 F''(x) = 6 Note that a = 3 and 2 x 3 = 6

[@devconteh]

thanks a lot ,Great job

[@Hamzakhan-fq4yk]

ty

[@thomassmith1823]

Is concave up concave down in australia?? Concave down under??

[@Bank0h]

surely if the y value is positive it will be more than zero (as you said) but that would make it a maximum because it is positive...?

[@easymath_]

Imagine the graph was shifted up so that both of the turning points sit ABOVE the x-axis, meaning that the y-value is positive for the maximum AND the minimum turning points. We must therefore look at the concavity of the graph at those points to determine whether it is a maximum (negative - concave down) or a minimum (positive-concave up). Hope this helps. If you need further explanation, let me know.

[@easymath_]

Will Banks also, if the second derivative at a turning point is positive, it is a MINIMUM because the curve is facing UP, meaning around that point, the graph gets higher, not lower.

[@sukantranjan3817]

Is this curve right? Looks like a Sin(x) curve

[@leboblack]

🔥

[@Liam.2000]

Thankyou very much, this was so helpul

[@easymath_]

No worries, good luck!

[@emily_xox5213]

I want to cry

[@claraishungry501]

i know its been 2 years but are u okay now

[@emily-jaynestenson9343]

@@claraishungry501 Hey thanks so much, I’m better now finished maths a while ago now aha. Hope everyone watching this vid is doing better than when was watching it.

[@claraishungry501]

@@emily-jaynestenson9343 Oh.. im glad then 🥺 and good luck with the rest of your journey!! :)

[@ryanjared2840]

Thank you my son

[@THEGEEK2001]

Apart from only 240P brilliant video - as others have said fills in those little missing bits

[@karnakbecker9575]

thank you love your video but i looked at it to help with this particular math problem that i cant solve it says find all turning points to the nearest tenth in the function X^4-4x^3+2X^2+x+4 and i cant find it some one please help =(

[@showusthemtities]

g'day mate

[@olacierpiol7049]

is this for ordinary level ?

[@easymath_]

Ola Cierpiol What do you mean by "ordinary level". This is one of the most useful ways to find maximum and minimum values for graphs and worded problems, using the second derivative to prove whether something is a maximum or minimum. Thanks!

[@cindylo8505]

EasyMath SC level

[@TomHeal]

no this is for a level

[@sehrishkhan3411]

This is for Advanced level mathematics (A levels) ,pure mathematics (paper 1)

[@yixuan_aa]

why can’t we just see the y value of the turning points and the greater is the maximum point and smaller is minimum

[@ndounaben]

Keep people with relevant videos, watch how to find maximum and minimum turning points of a function : kzbin.info/www/bejne/pKe3iGeQibmritE

[@kimyates6561]

THANK YOUOYUOYUOUYO

[@omarusman2920]

The gradient at the turning point is your girl Get it? Cus its flat

[@ferry6700]

big breast fill a man hand, but the flat one fill man heart

[@omarusman2920]

Fery McPhee not necessarily👀

[@GiantCyborg]

Damnn thanks m8 I learned more than my 12 years in school 😂😂😂😂

[@omarusman2920]

Azhan Tariq 😂

[@user-fu1mq6pg5z]

So not funny , r u 5?

[@abdullahalsawae4573]

I can't see anything from ur hands wtf