Basic Concept of Maxima & Minima (Part-2) | Engineering Mathematics

[@Letsreact7879]

Sir u are god

[@AG131]

Nobody: Gurupal Sir: Yeh ellipse bana rahe hein.... circle jaisa baan gaya. 😂😂😂😂😂 Regards to your sense of humor and the way you incorporate it with your lectures. Engineering Mathematics was never so interesting. Thank you so much for your constant effort.

[@kalurammeena5155]

Bro I think u understood very clearly ...so can u tell me ...why did sir made square of aera...cal. roots on that basis considering f(X)=A^2..

[@AG131]

@@kalurammeena5155 I feel you're talking about the Area of rect. : 2X*2Y i.e. 4XY = A Now, Considering the equation of ellipse, X²+4Y²=1 So it will be convenient to consider the Area Of rectangle: A As A² so that we get the area in terms of X² or Y² Upon finding that, If you can substitute the term Y² from the equation of ellipse and put it in the Equation of Area Of rectangle. We can easily find out the maxima point.

[@AG131]

@@kalurammeena5155 i hope this is what you were looking for.

[@kalurammeena5155]

Bro firstly I solved by same as u discribed bt I got wrong ans. Nt.same as sir solved Bt when I tried with different way ... that's polar coordinates X=acos(theta) ,Y =bsin(theta)...and draw a rectangle about origins ...then I solved ..

[@BhaktiMarg-ic6hs]

Nice 👌👌👌👌👌👌👌

[@rajatsharma8861]

♥ ♥ ♥ ♥

[@abhishekjha3944]

Wonderful sir 😎

[@songstersujeet5916]

very nice sir

[@sudarshankumarchoudharyedu4003]

sir ,last question to polar point lene se easily ban jata hai

[@knightknight9219]

Bro, can you explain it.

[@sudarshankumarchoudharyedu4003]

@@knightknight9219 you take the vertices of rectangle on ellipse as AcosX,BsinX Where A=1 & B=1/2 So A=2cosX sinX ------* Now take for max. Area (dy/dx)=0 You got X=45 degree Now put the value of X in Equation * Then you get the value is 1 unit square

[@knightknight9219]

@@sudarshankumarchoudharyedu4003 Thanks bro!!!

[@sanketgunjal6079]

Thank you sir... Hamari dua hai aapke sath!!!! Wish you a happy prosporous life !!!😊

[@manpreetKaur-qw3rs]

Do you know you are passionate teacher.

[@anamsaniya9164]

Awesome sir..

[@JarnailSingh-hp5sn]

Sir aap bhi 1no. Pdate ho..... Tnkiuu sir....

[@kayamali7897]

thank you so much

[@mishrasadhana6831]

nice vedio sir

[@nirvanpandagre5706]

Great video Must watch to score good and Boon for clearing gate .

[@PhysicsNEETi1208]

Thanks so much for helping us.

[@subhajitsarkar1399]

Thank u sir ... Ur concept is awsm ... Thank u Gate Academy

[@mohitahirwar573]

Thanks you sir

[@kajoldwivedi4411]

Sir

[@kumargourabdas2598]

Thanks a lot sir please upload more videos.

[@RK-rd7wr]

Sir, In last question if we take side of rectangle for simplicity x=(x/2+x/2) and y=(y/2+y/2) Means side of rectangle x and y then answer is .25 Why?????

[@zitrakzsingh7295]

in this case u are taking x/2 and y/2 so your area will will be x.y/4 ,which means that is the area of quarter rectangle. multiply it by 4 and u will get the area for whole rectangle which is 1.

[@kalurammeena5155]

Then sir took 2x ,2y.. area 4xy In this case we should devide by 4...

[@jaivardhanjha443]

If you want to use x/2 instead of x then you need to apply correction in ellipse equation also . You need to put X=x/2 and Y=y/2 in equation of ellipse. Further you can continue in similar manner as sir continued . I hope it would help you . Thank you

[@Transformer34996]

Thank you MR.GURUPAL CHAWLA SIR.NEED YOUR BLESSINGS

[@rajvardhanpatil3995]

Very good sir.... Plz upload lecture on mean value theorems..

[@mayurgohil8615]

Amazing , mind blowing , good one

[@wkta]

Sir inflection point

[@Cricketiyaapaa]

How u take X and y as side of rectangle without any relationship with ellipse.. Plz clear it sir

[@krysh-sk9uz]

Ellipse is symmetrical about the origin and the vertices of the rectangle is on the ellipse ( given )

[@THEKING-zd3bs]

thank you

[@shivakumarchandrapattana8506]

SIR , In 2nd problem of this video, after solving of equation (rt-s^2) >0, for checking MINIM or MAXIM sir you have taken only (r) , then what about (t) why did you not take (t) for checking maxim or minim ? PLZ reply as soon

[@VICKYSINGH-iv3lj]

only 'r' has to be checked for the condition of maxima and minima i.e r>0(min) & r0 for the validity of the concept if it is less than zero than saddle point occurs!

[@keyurkantaria6190]

Sir in first question can we go through options we differentiate one time and then put the point which point is satisfied or not After first differentiate we get 4x + 2y and only (0,0) and (1/6, -1/3) Is satisfied can we apply this method ????

[@avinashchaudhary2695]

Sir ESe ke bhi question solve kraye

[@reenarai1927]

Gabbar is back👍👍

[@smitgajjar5439]

Here rt-s^2 is less than 0 ...what to do?

[@rushivnagleVlogs5618]

Sir ye stationory point wale questions df/dx = -y-3y^2 me apne y=0 to thik hai..(per y=-1/3) ? Me -ve 1/3 kese ho RHA...??

[@lalitbindal7779]

sir in last question how you take sides as 2x and 2y..please explain

[@dharish5050]

Sir plz upload videos on mean value theorom.

[@davidbisen9772]

Ts sir and plz machine ke lacture provide kra dijiye

[@kirti7754]

sir last question me apne area ka square kar diya... usase function pe koi effect ni padega kya ?

[@shashankshanbhag8529]

Kirti Kanajiya it doesn't matter if you take f(x) or f(x) squared you will still get maximum

[@ryhimanshshukla8228]

If 2 > 1, then for sure square of 2> square of 1.

[@supravatdebnath9464]

@@shashankshanbhag8529 u r wrong. f(x) squared will be maximum for both minimum and maximum values of f(x). e.g. 2 and -2 both have their square as 4. But here in this question, it doesn't matter because area can't be negative so the value of f(x) will always be positive. This is an explicit case which Sir could have mentioned. His way of solving is just short trick to simplify the calculation but for other functions taking f(x) or f(x) squared will not be the same.

[@shashankshanbhag8529]

@@supravatdebnath9464 thanks for clarifying

[@sachin.verma2727]

Sir iska.... short trick v Hai.... intersection point leke (1,0) and (0,1/2) se ...area 1 hi a RHA.

[@lalitbindal7779]

brother how please elaborate

[@VanBhardwaj]

These are intersection points of ellipse. How can you get rectangle's area using it?

[@rupamdas6737]

A^2 ko A me kiu nhi badle?

[@ruchimadaan573]

Thank you very much for this beneficial video sir.Sir pls upload video on numerical method,topics named bisection method,regular false,secant method,euler method,euler backward,euler forward

[@neelutiwari2383]

sir, in last question why you take A2 as a f(x) why sir you haven't taken A as f(x)

[@Shivamunplugged1995]

for simplicity ...taking A² made y² which made it easier to put y² equation directly from eclipse

[@himanshukumar-vy5fu]

I also hve same doubt

[@himanshukumar-vy5fu]

Sir had maximed area square

[@bhaskardeb8342]

sir last question (rectangle vertices inscribed in ellipse ) if we dont change 4xy i.e., the function to single independant variable i could see its maxima but i am not getting any point.. and cant calculate the area out

[@poojasingh-vm6cx]

Let me clear one thing Sir these cource is available always or private for some time???

[@kajoldwivedi4411]

Sirf previous years ke paper solve kerne se gate exams nikal sakte hai

[@rohitmotors6042]

sir plzz fourier series pe ek lect

[@Kdfor-gi-12345]

Sir, what will happen if r=0 in rt-s^>0

[@aamirkhan-iq9gl]

Saddle point

[@dreamhunters5412]

Please post remaining videos if available

[@nikeshrai483]

Sir mechanical Ka bhi kuch qustion.kar dia karo...

[@vipinyadav5710]

Sir vector difference ke bare main btaiye

[@TheShubhransu]

when minimum or maximum value of stationary point and interval point are same then which one is to be selected as min or max

[@aparnanautiyal5746]

Sir o.d.e. lectures please 🙏

[@syedismail1849]

In last area problem

[@sonai2874]

Laplace transform

[@SunilMeena-er9wf]

f(x,y)= {(x+y)-|x-y|}÷2 sir how it solve

[@evergreenbollywoodsongs6461]

sir probability

[@dreamhunters5412]

लाजवाब....... 👌👌👌 super से भी uper

[@syedismail1849]

May be u took differentiation of A2

[@amanjain1841]

sir ye kaise lia x &y ?? aur fir direct kaise subsitute kia?

[@chandantiwary7697]

Last question can be solved within 1 min, using parametric form of ellipse as a co-ordinate of rectangle...

[@ashishmahanta7963]

5x^2-8x+14 what is the maximum value and minimum value??

[@stanzinnakban]

infinite and 0.8

[@mokariyanaresh7511]

10.8 minima

[@madhusudan_tr]

do in english

[@vinitthakre5593]

Excellent...!!!!

[@hemaranigodas976]

sir plzz upload a vedio on improper integrals

[@deepakdamodaran4444]

Thank you sir

[@pratyushkesharwani2179]

Sir please make a video of mean value theorem

[@moonlight_557]

Thank you sir