Grade 12 Calculus Lesson 5 | Finding the Equation of Tangent | Mlungisi Nkosi

[@siyasangatatsi6079]

Thank you so much Sir🙏🏻. Your channel is heavenly sent. For longest time I taught I was dumb kanti no I needed a great teacher like you.

[@MlungisiNkosi]

I’m glad you changed how you see yourself… you’re welcome

[@GibsonMogale]

👏👏this topic was giving me a headache but then I've seen the light💡💡 now 🤝🤝

[@MlungisiNkosi]

Yes yes yes… Move towards the light 😀

[@kamogelomodjadji4005]

Your lessons are a true blessing sir🖤💯

[@MlungisiNkosi]

Thank you so so very much

[@d.onnell_]

The greatest teacher of all time, thank you Sir!!!

[@MlungisiNkosi]

You’re welcome ☺️

[@callumlawson-smith1618]

Thank you sir, I'm feeling confident in maths for the first time in about 4 years

[@MlungisiNkosi]

That’s incredible 😃

[@ThamsanqaDube-yg4ri]

❤❤😊thank you Sir

[@mositoboitshoko4158]

I'm improving ever since I started to watch this videos.. Thanks Sir

[@MlungisiNkosi]

I’m happy to hear that

[@sphelelendiyaza7682]

It's Was A Great Lesson Indeed!

[@MlungisiNkosi]

My pleasure 😌

[@luyandanene9724]

😁Wonderful lesson..

[@MlungisiNkosi]

You’re welcome 😊

[@nobuhlengcobo9415]

Not me understanding how to factorise a cubic function ngo last minute ......thank you so much 🙏

[@MlungisiNkosi]

That’s awesome… Better late than never 😊

[@mphophile5777]

yoh ,the best,thank you sir !!!!

[@WYGEE_WES]

it was a great lesson

[@MlungisiNkosi]

You’re welcome

[@mumtazmahomed2674]

Thank you so much sir. I do struggle with math but your videos have helped me a lot. Will it be possible for you to do past papers on calculus. Specifically Eastern Cape past papers as my teacher takes similar questions to that.

[@MlungisiNkosi]

I will do so in future ❤️

[@tshepangsherlock7512]

Thank You once Again🙏🏽🙏🏽😃😊. I'm writing Friday Paper 1, I'm not fully ready just need few touch ups then I'll be Ready😃. Quick question, how do I show that the graph has only one point stated in the question? Here's a scenario : F(x) = -X³-X²+X+10 and I'm asked to show that (2;0) is the only x-intercept of F. Thank You in advance 🙏🏽🙏🏽🙏🏽

[@MlungisiNkosi]

You have to use x-2 as a divisor and get a quotient. And you'll get other intercepts which in this case, it is still 2.

[@nqobileannah464]

I willl forever be grateful sir

[@ubeidurrahmaansha6629]

qyestion 1 a) shouldn't we take the 12 and 4a over (12+4a+b=0) to make it b=- 12-4a? i saw you just write it so which means b would be -b

[@cassiusmbhalati6523]

21:48 Tshego's methods is similar but i use kx then when looking for k.i say k=ax+b where a stands for the well a the x the factor then b well it stands fot b .(i hope you understand sir) so it will be k=ax+b then k=(1)(2)+(-3) then k=-1 😹😹

[@MlungisiNkosi]

I like it 😃

[@mrwakgokane1617]

Godd Bless You Sirr🔥🙏

[@PrinciaBebo]

Sir by 21:14 you can also use synthetic division

[@sethucasewell7286]

I'm grateful sir,If the first derivative of a cubic function is a parabola, would I be wrong If i sketched the graph on the same set of axis,the applied your strategy?

[@MlungisiNkosi]

Absolutely nothing wrong…

[@michellemonareng4975]

Thank you sir this has been helpful

[@MlungisiNkosi]

It’s my pleasure 😇

[@cassiusmbhalati6523]

8:26 ,,on equation 2 we can make b subject of the formula then we will get b= -4a-12 then afterwards we say b=b then -2a-6=-4a-12 the solve for a the afterwards we take the value of a and sub it into the first formal then get b=0. .

[@MlungisiNkosi]

I like that.

[@kholisantsobothi6334]

Thank you even though i am scared of friday papper 😓

[@MlungisiNkosi]

Go in your might 👊🏾

[@rachealnkosi8567]

Thank you 😊

[@MlungisiNkosi]

You’re welcome ❤️

[@ThokozaniButhelezi-m2z]

Sir is the any alternative method that can be used to answer question c)

[@Teddy_gent]

Thank you😭

[@Spyce_mthola]

Let's give this man his flowers🎉🎉🎉😂

[@MlungisiNkosi]

You're so welcome!

[@angelimmaculatehun.]

If you are given the y coordinate what do you do?

[@mbazarafapa9398]

Thank you so so much sir🙏, can u please do finance am straggling with it, am going to write in may/June Ur videos are very helpful we thank u🙏

[@MlungisiNkosi]

I will be starting with it in the nearest future…

[@mbazarafapa9398]

Thank you sir🙏

[@shamie.m]

for the first question can we use the Y=(x-x²)(x-x¹)²

[@thandimamba7076]

Sir? After Deriving Why Did You Substitute 2 When Making The Second Equation??

[@MlungisiNkosi]

It is the derivative at that particular x-value

[@thandimamba7076]

Thank You Sir

[@lulamalurh6112]

wena sir uwu-best yaz kodwa😘😅....sir sokwenzan if kthiwa sinikwe ama x-int kodwa awawona ama TP i method izohluka?

[@MlungisiNkosi]

Cha uzokwenza exactly the same

[@nhlobenhlempungose2077]

hey sir why was a for this graph negative yet the shape of it looks like a would be positive

[@MlungisiNkosi]

That’s not true…

[@tumimonare4515]

sir with the last question, was the calculation necessary because you can honestly read it of the graph

[@MlungisiNkosi]

I know but I wanted to illustrate it

[@musamosa4608]

Thank you sir ,can you please do probability

[@MlungisiNkosi]

Noted

[@DinnyNdoveng-jp6no]

Oh sorry sir forgot kuthi b=0 so when you multiple it with x gives us 0

[@tina.__shee]

How do you know the gradient is negative on the graph, I didn't understand that part

[@MlungisiNkosi]

If it goes down as you move to the more positive values of x

[@OwamiMdakane]

Tina❤😄

[@DinnyNdoveng-jp6no]

Sir you forgot +1 on the equation (b) y=3

[@kagisomaria3224]

shout out to Tshegofatso

[@MlungisiNkosi]

He’s the man 😃

[@shes.li_melanin]

sir how did you get f(X)=3x2-6X

[@MlungisiNkosi]

Please follow the previous lesson so that you understand the fundamentals first

[@mahlatseagnes1534]

Thnk u sir...buh de last question "C" it's confusing me😖

[@MlungisiNkosi]

Eish Askies

[@innocentiazondo7598]

YHO SIR I DIDNT UNDERSTAND THE LAST QUESTION

[@MlungisiNkosi]

How may I assist?

[@professorzulu8552]

Sir can you please example paper 1 year “2020”Question 8💔🙏🏾

[@MlungisiNkosi]

I’ll look into it at a later stage

[@2kaay_946]

where my gents/gyals not sleeping today🤣😭😭

[@MlungisiNkosi]

Noooooo…. Please don’t do it

[@2kaay_946]

@@MlungisiNkosi uhm kinda too late😅

[@MlungisiNkosi]

@@2kaay_946 I pray you do well

[@luyandanene9724]

😁Wonderful lesson..

[@MlungisiNkosi]

You’re welcome