Turning points of a cubic function.

[@rubaetm5353]

than you very much sir for your help. i have subscribed to your channel.

[@RAVIOLIdS]

wow you just showed me how to get a 6 mark question in 4 minutes you're an absolute legend thank you

[@officallyjak]

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[@ngonidzashemaromani6678]

Thank you so much. May you please tell others about this channel. Its under continued development

[@James-ot2ej]

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[@azukiswengobe761]

Thank you for making this so easy to understand❤

[@rajumondol5160]

I fall in your maths love sir....I am from Bangladesh take my love❤❤❤❤

[@ngonidzashemaromani6678]

Thank you so much, please spread the love of numbers in Bangladesh

[@rubaetm5353]

May God bless you and keep you safe.

[@CaffeinatedDinosaur]

This has been so useful, thank you. Definitely subscribing.

[@sashmikag.7111]

Thank you so much, sir. Highly appreciated💖

[@fanyi88]

So there are 2 turning pints for cubic function?

[@DesleyMiles]

Thanks sir this has been very useful but plz how did you get the 6x^2 plz

[@joycensenga6866]

Thank you sir may God bless you too

[@ngonidzashemaromani6678]

Thank you keep checking for new updates

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Writing igcse soon. Thank you!

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love this guy man.

[@djpistol4563]

Thankyou sir you really helped me👍

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Thank you sir, I'm subscribing this time around.

[@ngonidzashemaromani6678]

Thank you so much

[@youngzee031]

Thank you 🙌

[@chikombamoreck3778]

Your are doing very well Sir but I'm confused about distinguishing maximum and minimum values coz there is someone taught me n said if y value is positive then its a minimum value but if its negative which means its a maximum value ...

[@ngonidzashemaromani6678]

That method you're talking about only works when you get the second derivative. If it's -ve it means max point if +ve its min. However this method I used am using the fact that a cubic function has 2 turning points. After finding the two points you just compare their y coordinate. The one with the bigger y value becomes the max point

[@thabangtlhoaele8757]

Thanks very much the explanation was clear and understandable

[@ngonidzashemaromani6678]

You are welcome! Please keep pushing with your mathematics

[@Rhyses-pieces]

amazing vid

[@manahilqadeer2536]

you are an angel

[@VakeleN]

thank you very much sir

[@ThaboTshuma]

You're a king, thank you

[@ngonidzashemaromani6678]

Thanx Thabo. Lets keep pushing

[@superbo9y36]

wow so helpful and easy to understand, tyvm!

[@ngonidzashemaromani6678]

Thank you

[@juniorthomson9890]

Thanks it has helped me

[@ngonidzashemaromani6678]

Thank you. That means a lot to me. I hope you have subcribed. Also refere this channel to friends. Hope you will do well in the upcoming exams.

[@sophiamurere121]

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[@kangaghu]

🙏

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❤

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Thanks

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Thank youuuu

[@karwithamutwiri8596]

Amazing

[@ngonidzashemaromani6678]

Thank you! Cheers!

[@enoyonto2137]

Why are you using a comma instead of a point in your numbers with decimals? LOL

[@lukecooney4553]

Thankyou very helpful

[@behzingasdad]

Also in grade 12?

[@patriciadausas8446]

Well explained thank you so much! !

[@ngonidzashemaromani6678]

Thank you. That means a lot to me. I hope you have subcribed. Also refere this channel to friends. Hope you will do well in the upcoming exams.

[@tshegomushi9305]

F prime of (x)

[@billasgija390]

Thank you sir

[@rickylukas6002]

Thanks