Great explanation but i have a question, What if there are more than 2 stationary points, suppose i have to find maxima and i get three values of x for which first derivative is equal to zero, and for two values of x, second derivative is negative. Then how do i find on which value of x would there be maxima? Do i have to put both of these value in original function to check which one gives greater value, or is there any other way to know?
@randomuser21835 сағат бұрын
Like the example you gave in starting of video at 0:34
@1stClassMathsМинут бұрын
Hi. You can have multiple maxima and minima. When we say "maxima" we are talking about a localised maximum point rather than the maximum for the entire function/graph. So the maxima is just where the graph reachs a peak then comes back down again but this could happen multiple times. E.g. the sin/cos graphs have infinitely many maxima and minima.
@abhinav25308 сағат бұрын
Saving me In IGCSE
@yoshislosherrrr17 сағат бұрын
Thank you so much 😊😊😊😊
@1stClassMaths4 минут бұрын
No problem 😊
@ericalacore_prettygoddessКүн бұрын
Thanks 😊
@1stClassMaths4 минут бұрын
You're welcome!
@_GOBLIN1Күн бұрын
sir can u do harder venn diagram questions?
@1stClassMaths4 минут бұрын
I will get there eventually :)
@user-is5sx7xj3hКүн бұрын
Why half 122?
@teenagesniper6783Күн бұрын
Hi sir I hope all is well. I figured if I comment on a recent post maybe you would see it I just want to say thank you for all the maths stuff over the last year. I'm looking at a solid 9 and 9 in maths and further maths (i hope). Thanks though mate you made maths so easy.
@1stClassMathsКүн бұрын
I appreciate that and have seen it! Good luck with your results.
@teenagesniper6783Күн бұрын
@@1stClassMaths thank you sir if you want ill let you know!!
@SUKUNA15Күн бұрын
Can not wait for the A-level content sir.
@SUKUNA15Күн бұрын
Further maths was easy sir because of you I am really grateful for your efforts in further maths🎉🎉🎉
@swarapatil8552Күн бұрын
Thank you! For me bearings were a nightmare, I couldn't understand what my teachers would teach... But thanks to you I understand better and im more clear on the chapter ❤
@mojisolacaroline1662Күн бұрын
Thank u sir
@aliabdiiid2Күн бұрын
And I really loved you're videos and how you want to make to understand and I love ifan you're english event two thank teecher & morning by
@aliabdiiid2Күн бұрын
Hi sir we're new for math we are not like you and we don't no how uknow think about boss pls and make pls to understand by little bit ineen talk to us slowly couse uare talking for very first pls boss thank you
@ienzzy2 күн бұрын
Love this method, thanks a million
@kirbystar07962 күн бұрын
Everyone around me thinks the test went well, but I did badly. Thanks for the resource though.
@Ice14BS2 күн бұрын
Further maths over. Without you it would have been a big struggle.
@ethaniellim-yq1kk2 күн бұрын
thank uuuu
@sunshine.raincoat2 күн бұрын
Thanks for helping me understand further maths ✨️
@jen_sen85082 күн бұрын
for 7 i didnt work out the nth term i just did 327+7x and checked with my calculator the first value for x to give me a number greater than 1000 which was 97 so i did 50+97=147
@moshisnt2 күн бұрын
13:33 is it alright if i actualy write out that g(x) is greater than 16, ike will i get marks for "all x are greater than 16"
@yoshicrafto22422 күн бұрын
Thanks
@Inertia.2 күн бұрын
understood the last question finally
@logicmaster7562 күн бұрын
2hrs left😁😁
@Soupodopodo13812 күн бұрын
sir you are my sunshine
@yadztv99632 күн бұрын
U are and have single handedly carried my further maths career, wouldn't know what to do without you
@jasminen50002 күн бұрын
Thank you so much for helping me through the entire Gcse season, with Gcse maths and gcse further maths I honestly couldn't have done it without you. your videos have helped me a lot and your channel/website is extremely underrated. I honestly cannot thank you enough. hopefully ill be back for a levels but for now id like to say thank you so much and goodbye
@omaral-jasem20112 күн бұрын
I don't usually comment on videos but I felt like I MUST SAY THANK YOU❤❤
@mahdi_khan2922 күн бұрын
blue done saving my hopes and dreams 🫡
@Maximus56412 күн бұрын
12:33 i got (-3-8x)/(1-x), would this be allowed??
@pr1m0rdi4l2 күн бұрын
Big up you man
@KabeerKhan-bv6zw2 күн бұрын
For 7 at the end I got 24 but for 9 at the end I got 48 is my answer correct ??
@sabredark54152 күн бұрын
good luck have fun
@exodraedon25622 күн бұрын
Cheers, I know this is gonna save me for tomorrow
@okay69772 күн бұрын
Hope we can all get the grade we want!
@cools7uff2 күн бұрын
Can you use the discriminant for 18? I tried it but got a <+ or - 3 and didnt know how to go from there
@1stClassMaths2 күн бұрын
Yes you can. You cannot quite finish like that though. When you get a^2 < 9 you should do a^2 - 9 < 0 then solve similar to how I did in the video using (a + 3)(a - 3) < 0 giving -3 < a < 3 still.
@cyv.er082 күн бұрын
the question from this topic cooked me in paper 1
@Thefootballboss2 күн бұрын
p1 was alright but we had chem on the same day so went to bed really late (like 1:30) and i think i was so tired so wasn't thinking straight in fm, hopefully we can clutch up on p2
@cyv.er082 күн бұрын
@@Thefootballboss paper 1 was alright for me aswell but other ppl were saying it was hard so I hope the grade boundaries will be lower
@emmachan6732 күн бұрын
this is insanely useful!! i wish i saw this before paper 1, thank you!
@vidhungamingyt85152 күн бұрын
I'm so finished
@LinaNaji-qn1nn2 күн бұрын
your papers are the only thing keeping us all sane !
@cydiesoriano75282 күн бұрын
Your videos are so efficient and well-explained! I feel like I learned way more from this than in school 😭 Thank you lifesaver!
@jlj3792 күн бұрын
I have been waiting for this, 11.5 hours to go lads, we got this
@asiangamer40442 күн бұрын
Thank you so much for your efforts; I've used all your maths resources and not one hasn't been useful whatsoever. Sometimes I think to myself "Whats the higher and lower bound of the total time it took to create all of these resources?" But regardless, this will not be the last time I use 1st Class Maths - I'm doing maths at A-Level of course! Again, thank you so much and your hard work really aids countless students; to show my appreciation... I've donated some money in return; hope it helps!
@1stClassMaths2 күн бұрын
Thank you so much I really appreciate this and it is very kind. You are indeed right it has taken a huge amount of time but I enjoy it (for the most part, animating the video is the most boring bit). I will try and get onto some A level content over the next 2 years to help. Best of luck tomorrow.
@asiangamer40442 күн бұрын
Thanks
@1stClassMaths2 күн бұрын
Thank you so much this is incredibly kind of you. I wish you the best of luck tomorrow.
@ghostyyxvii2 күн бұрын
thank you so much for the video, these solutions and explanations helped a bunch! good luck to everyone tomorrow, we are going to smash that paper 2
@vertzify2852 күн бұрын
For question 7 you cant simplify 9/36 straight to 1/4? because the 36 is also dividing the 2^24?
@joemumma93732 күн бұрын
This guy's not pregnant, but he never fails to deliver