Continuity & Differentiability JEE Mains PYQs | CALCULUS 2002-23 Each & Every PYQ Solved | JEE 2024

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Continuity & Differentiability JEE Mains PYQs | CALCULUS 2002-2023 Each & Every PYQ Solved | JEE 2024

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Timestamps:
0:00 Intro
1:30 Limits ka Q83
8:30 Type-1 Iss point pe continuous hai?
1:12:10 Type-2 Iss point pe differentiable hai kya?
2:01:50 Type-3 Where is the function discontinuous? Points of Discontinuity
3:27:55 Type-4 Where is the function Non Differentiable? Points of Non Differentiability

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Comment if this series is transforming your life? Your reviews about the lecture, any thing u specifically liked? any "aha/wow" moments? do comment i will love to hear them😄

MathsUnpluggedIndia
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Please do like the video because this man is doing commendable work

aadityaraj
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From hello bachhoo to "Hello people", we've come a long way
😅

HulgulChulchul-syob
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*Agar content mein masti hai to teacher advanced level hai*

For those who are thinking type-3 and type-4 are just just done on random thought process:-(Note-This is my self made mind map via observation not the algorithm from full problem solving course)

Via my observation In those questions:->

1)First find suspicious points where you have to check, For finding suspicious points we used some tools like-

•Check the points where function's defination is changing

•Remember the graphs of elementary functions so that you could find in which points where function shows *नौटंकी* and you need to check your functions at those points

•Next is Remember algebra of continuity and differentiability and composition too (same results as Algebra of irrational numbers)

(Note is such steps:- *check means to check differentiability and continuity at that point
*During those steps you can redefine the function at critical points to simplify)

2)Now after you got The suspicious points your question is converted to type-1&2 Now for continuity check lHl, RHL, functional value

*For differentiability check continuity, if it's continuous check-->
•LHD, RHD
•if except critical points Graph Is continuous then,
Define derivative function and check continuity at critical points

•Or else if possible Draw the graph and at critical points check slope .(for making graphs in a efficient way remember elementary graphs, remember graphical transformation rules, and curve sketching-->[find derivative fx^n and 2nd derivative function and via using limits])

Note-->checking continuity point and LHD, RHD you need to be comfortable in solving limits if you are not check previous video

40:19 -->important (gof(x) composite function generation) and 3:10:21

1:14:27--> min/maxf(x) mein graph se kro --> first thought

2:16:15--> jahan function ki transition ho rhi hai uss point ko alag se dekh le(uski continuity and differentiability) include Matt kro interval mein (eg-x=π)

3)For Rest advanced level mislaneous points check below marked

2:42:42 if the multiplication between 2 functions (DC ×C) when c had continuous point zero then result will be continuous function with continuity point =0

3:45:09-4:10:32---> jahan strike kr jaye graph bana skte Hein bana liya kro

4:32:28--> Now plot the graph of cubic very fast

4:21:42--> subtle advanced level point

4:36:58--> ye badhiya tha guru

Note:- even function mein modulus hatt jayega

3:54:55--> algebra of functions

5:05:57--> Important (In [ ] and { } in integers as suspicious critic points when to check continuity and differentiability

5:08:39-->Picewise functions asani se define krne ke liye jaha. Jahan woh घपला krta hai given interval mein usne बांट do eg-> 5:15:03, 5:09:44

Mechanicalengineer
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2:13:50 Graph of *xsinx*
2:29:00 Denominator=0, discontinuity
2:41:47 Important Rule: h(x)=f(x).g(x) can be continuous if g(x)=0 for LHL, RHL and Functional Value.
2:55:29 Trick for drawing max(f(x)) graph.
3:19:49 Keep in mind the variable in limits.
3:27:20 Important Rational and Irrational Type

4:18:52 Redefining and addition of functions
4:32:23 Condition for non-diff. of |f(x)|: f(x)=0, f'(x) != 0
5:02:46 Check for f'(x)=0 point to be in range while checking differentiability of [f(x)] as it might be continuous for that point.

atharvgupta
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question to revise
39:41 just watch
1:45:30
2:13:05
2:45:43
3:27:17
3:42:30
3:45:01
4:02:59
4:12:19
4:20:25
4:30:58
4:30:58 just see
4:52:30

ayushpundir
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22:08 Yaad Sab hein Bhaiyya....Aise nahi boolenge aapki OFF TO YOU 👏👏👏👏👏

StudyAchieve-nmjh
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0:00:01 continuity
3:29:30 differentiability

Maths-pced
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TYPE 3
2:09:21 Discontinius kahan hai
2:15:52 x sinx wala question
2:28:00 Good and conceptual u(x) problem
2:30:50 Extreme lhl and equality discontinous test
2:40:00 good observation and concptual [x2]sinpix
2:45:20 Easy and undersatandable of astonishing result of ashish sir
2:47:40 understanding of max funstion in f(t)
3:11:55 W Question dabba e ki power x
3:18:00 special type a ki power n

TYPE 4
3:38:00 Obs by graph m, aking of modx + mod z
3:44:00 bhayanak and good conceptual lambda and mew wala
3:48:00 good grph anlysis
3:55:40 adddition of functions using graph
4:15:00 astonishing result in point of non differentiability ashish sir
4:17:00 Good graph based of mod x ka dabba

harisabdullah
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1:18:00 sir here the function will be continous at x=0

ramnarayan
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Printing Mistake at 1:01:42 Ques no 18
Correction: Denominator me x^4/3 hoga

LoveJEEMaths
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Important Questions for personal Rervesion

1:36:00
1:46:21
1:51:53
1:55:13 important key points

2:11:44 (GIF WAALE QUESTION)
2:13:19 (Graqph analysis xsinx)
2:33:33 (New type Questions)
3:17:47 (?Very Important type)

ridereditz
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5:29 Bhaiya ya pe 1/3 ko 1/4 me karenge shayad kyunki (1/4<1/3)
Aur 1/5, 1/6, 1/7 ko 1/8 me convert karenge because 1/8 is smaller.

So, sequence will be smaller than S1 but it will tend to infinity, so S1 will also tends to infinity.

vishwajeetsingh
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please try to complete integral calculus too

mayankjadhav
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Bhaiya u r the continue the series with geometry too...

PratyushSrikant
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Bro you are super bro
Thank you for detailed explanation
Again, god bless you everytime.

swarith
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4:58:01 sir please reply I have made it's graph using emulator and there I counted 79 point of discontinuity. Why you considerd 0 wha par integer thodi ban rha ha

lalitjoshi
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Ye bat Satya hai kyun ki exam me main questions solve karne ka method tk bhul jata hun 😅.Ye dukh dard pida.

ANJAN-ii
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Bro please upload integarition course s remaing lec as it is the most asked types of questions are you just left the same thing which is even more complecated

achirchinta
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Yaar like karke jaao sab
Bhaiya is giving his 200% for us❤

JainilSutariya-tc