Application of Derivatives One Shot Maths | Increasing & Decreasing Functions Class 12 Ushank sir

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  • Опубліковано 4 лют 2025

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  • @TNY00007
    @TNY00007 3 місяці тому +43

    25:10 Ans= function dec. At (-infinity, 3/4) and function inc. At (3/4 , Infinity)
    28:44 Ans=function is inc. at (1, 3) and (3,Infinity) AND dec. At (- Infinity, -1) and (-1, 1)

  • @Ashketchum2025-i7b
    @Ashketchum2025-i7b 5 місяців тому +282

    BONUS TIP :- When writing critical points like ( 1, 5) , ( 6, 10) don't use comma in between to divide it. Instead use Interxn sign i.e, ∩ also called and (1,5) ∩ ( 6,10). Thank u sir for this incredible lecture.

    • @Ashketchum2025-i7b
      @Ashketchum2025-i7b 4 місяці тому +12

      @@mrmr8467 wrong, if u take union then you are talking whole critical points as a one and unique set. But, for inc and decing fxn one need to have discrete sets of crticial points to verify it then, you must take ulta U.( interxn ) hai and tumara wala common which is wrong.

    • @redshiftplayz
      @redshiftplayz 4 місяці тому +3

      @@Ashketchum2025-i7b thanks for the tip buddy

    • @Ashketchum2025-i7b
      @Ashketchum2025-i7b 4 місяці тому +2

      @@redshiftplayz welcome buddy :))

    • @Ashketchum2025-i7b
      @Ashketchum2025-i7b 4 місяці тому +3

      @@mrmr8467 yep, no problem at all buddy even I get confused some times 😂 😂 . U ki maya hai .

    • @shilpiart2790
      @shilpiart2790 4 місяці тому +2

      Wrong , because we are not taking common points from the given interval we have to combine all the interval together or you can say in a good manner so we have to use union instead of intersection 😂😂😂
      Bro lgta h tune 11th me sets nhi kiya

  • @PRINCE__06RAJ
    @PRINCE__06RAJ 5 місяців тому +226

    31:38 sir cosπ/6 = √3/2 & sinπ/6 = 1/2 so the function is increasing😊.

    • @shikhargaming702
      @shikhargaming702 3 місяці тому +2

      Exactly 💯

    • @shikhargaming702
      @shikhargaming702 3 місяці тому +3

      Sir ki wajah se wavy curve method pe doubt ho gya tha 😅

    • @aayushmishra5866
      @aayushmishra5866 2 місяці тому

      You are best ❤❤🎉🎉

    • @Ultrongamerz39
      @Ultrongamerz39 2 місяці тому +2

      Bro -/3 = -1.73 or jab 1-1.73 karnge to answer negative aayega

    • @manthantanwar3535
      @manthantanwar3535 Місяць тому

      Bc yehi dekhne aaya tha koi bacha hai kya jisne dekha ho ye

  • @AdityaYadav-t8p
    @AdityaYadav-t8p 4 місяці тому +52

    28:43
    1--> decreasing
    2--> decreasing
    3--> increasing
    4--> increasing
    😊😊😊😊😊
    •••

    • @anmolchaudy18
      @anmolchaudy18 2 місяці тому +1

      First one is increasing

    • @breezeaee
      @breezeaee Місяць тому +2

      it's right ,check again

    • @breezeaee
      @breezeaee Місяць тому

      @@YOUTUE_090 na u are wrong

    • @YOUTUE_090
      @YOUTUE_090 Місяць тому

      @@breezeaee chla ja B***K

    • @YOUTUE_090
      @YOUTUE_090 Місяць тому

      @@breezeaee kya wrong MC*

  • @RohanRohan-c3e
    @RohanRohan-c3e 5 місяців тому +228

    Sir really it's useful for jee aspirant who goes for school 🙏🙏😭😭😭

    • @READYGO_SCIENCE
      @READYGO_SCIENCE 5 місяців тому +11

      Bhai shi m shrm aati h school k ques krne m

    • @RohanRohan-c3e
      @RohanRohan-c3e 5 місяців тому +7

      @@READYGO_SCIENCE kyu bhai 😅

    • @Samiumoxide
      @Samiumoxide 4 місяці тому +5

      us bro us

    • @READYGO_SCIENCE
      @READYGO_SCIENCE 4 місяці тому +2

      @@RohanRohan-c3e ese ese hte h bhai kya btau

    • @varun3992
      @varun3992 28 днів тому +1

      @@READYGO_SCIENCE vo baat toh hai bhai, bina baat ka likhna padta hai. Wavy curve hi nahi laga sakte hai

  • @aestheticyug
    @aestheticyug 2 місяці тому +23

    32:33 cos 60=1/2-sin60=1.732/2=answer is negative at (π/4,5π/4)

  • @shivamrai9104
    @shivamrai9104 5 місяців тому +60

    25:12 (-infi,3/4) pe dec
    (3/4,infi) pe inc

  • @dmgaham8237
    @dmgaham8237 5 місяців тому +32

    31:42 sir cos pi by 6 is root 3 by 2 and sin pi by 6 is 1 by2

  • @ArshdeepSingh-ej8ze
    @ArshdeepSingh-ej8ze 5 місяців тому +835

    Mujhe ajj pta laga ki comment pe double tap krne se like hota hai
    Edit-wow I'm famous now😊

  • @scieNtificiiTianClassXII
    @scieNtificiiTianClassXII 5 місяців тому +16

    28:44 func is increasing in interval (1,3) & ( 3 , ♾️) & decreasing in interval (-♾️,-1) & (-1,1)

  • @SparshYT
    @SparshYT 2 місяці тому +16

    42:06 yes sir ye event helpful tha❤

  • @KingBhaiTheGamer
    @KingBhaiTheGamer Місяць тому +36

    10:55 KADDU QUESSSSSS

  • @OFE_KT07_FDF
    @OFE_KT07_FDF 5 місяців тому +18

    Sir aap bhut Accha padate ho❤❤❤

  • @aavrin9069
    @aavrin9069 4 місяці тому +14

    Chummeshwari lacture..❤

  • @Feel_pain_xd
    @Feel_pain_xd 5 місяців тому +42

    Vote atleast 4 live session of integration 🙌🙌🙌

  • @SIDHU7Tgaming
    @SIDHU7Tgaming 5 місяців тому +30

    28:41 Increasing (1,3) and (3,infi)
    Decresing (-infi,-1) and (-1,1)

    • @dancewithvaibhav
      @dancewithvaibhav 4 місяці тому +3

      Bro (3-infi) is increasing

    • @FortniteGamer1945
      @FortniteGamer1945 4 місяці тому

      thats what he said you fucking retard

    • @adarshyadavyadav6420
      @adarshyadavyadav6420 4 місяці тому +1

      -infinite , -1 = increase bro

    • @DhruwanshLohiya
      @DhruwanshLohiya 2 місяці тому

      @@adarshyadavyadav6420 nhi bhai decreasing hi aayega sq. wali value to positive rahegi in all possibilities but (2x-2) me x=-ve dhale to (2x-2) ki value -ve aayegi and (-ve multiply +ve) negetive hota h
      hence, decreasing hoga

    • @SaurabhKumar-cr2zi
      @SaurabhKumar-cr2zi Місяць тому

      ​@@DhruwanshLohiya thanku bro for this explanation ❤️

  • @RT1649
    @RT1649 4 місяці тому +6

    25:07
    F'(x) = 4x-3 , x = 3/4
    Intervals are (-∞,3/4) & (3/4,∞)
    F'(x) is decreasing for (-∞,3/4) & increasing for (3/4,∞)

  • @kunalpanchal8556
    @kunalpanchal8556 5 місяців тому +9

    16:51 absolutely we can sir❤️❤️

  • @UTsahu-y8f
    @UTsahu-y8f 5 місяців тому +12

    Thank you for the insightful lecture on AOD Your engaging presentation on inc and dec were truly Excellent ✅✅💥💥

  • @scieNtificiiTianClassXII
    @scieNtificiiTianClassXII 5 місяців тому +9

    25:10 a) ( 3/4 , ♾️ ) b) ( -♾️ , 3/4)

    • @AnmolJi-r1p
      @AnmolJi-r1p 4 місяці тому

      Konsa increasing konsa decrease h??? Ye to btao

  • @Sattwik1
    @Sattwik1 5 місяців тому +54

    sir kal is chiz ka test h thank u for lovely session

  • @Sheikhsadiya-121
    @Sheikhsadiya-121 2 місяці тому +6

    Sir may your future be filled with
    success and happiness ❤
    ( AMEEN )

  • @HarsitaSingh-q2p
    @HarsitaSingh-q2p 5 місяців тому +12

    16:50 yes sir samajh aagya

  • @RishuSoni-q8c
    @RishuSoni-q8c 5 місяців тому +9

    I completed both lacture with question and waiting for maxima and minima
    Thanku sir

  • @royalplaying6248
    @royalplaying6248 2 місяці тому +7

    34:28 sir du/dv me (-) sign aata h 😊

    • @manthantanwar3535
      @manthantanwar3535 Місяць тому +1

      Bhai 2+cos theta ka derv -sin theta aayega isliye unhone direct + likh diya

  • @pranshu.mishra
    @pranshu.mishra 5 місяців тому +48

    10:56 Lallu Question

    • @maahirahmad8889
      @maahirahmad8889 5 місяців тому +15

      ohhh bhai kitna funny bola rukkk rukkk hasne de ohhh bhaiii

    • @beastgamerz7405
      @beastgamerz7405 5 місяців тому +3

      @@maahirahmad8889 😂😂

    • @maahirahmad8889
      @maahirahmad8889 5 місяців тому +2

      @@beastgamerz7405 😝

  • @YashulKardam
    @YashulKardam 3 місяці тому +3

    16:50 yes sir interval given ho to increasing decreasing k baare m pata chal jayega

  • @user-np1lr5po4m
    @user-np1lr5po4m 14 днів тому +2

    39:23 ''niche wala waha jaakar nushth ho jaayega'' 🗣🗣🔥🔥

  • @Vapeofficial777
    @Vapeofficial777 5 місяців тому +16

    Mai 5 baje sa wait kar raha tha iss viedo ka
    Sir apke alawa kisi or ka samjh nahi aata please sara chapters ka viedo laaiye 🙏🏻

  • @RitikaSingh-xl8lp
    @RitikaSingh-xl8lp 4 місяці тому +2

    25:11 h.w answer (-infinity,3/4) decreasing ,(3/4 infinity) increasing

  • @pr.creates07
    @pr.creates07 5 місяців тому +5

    16:54 done sir👍👍👍🔥

  • @pakhisohni3361
    @pakhisohni3361 5 місяців тому +7

    Sir, humbly requesting ki app 12th ke maths ke video lectures jaldi le aaye..
    You are an amazing teachers . In limited time you cover decent portion.
    pls aap jaldi se 2nd book bhi complete karde maths ki

  • @ayushk7163
    @ayushk7163 5 місяців тому +7

    Sir really it's useful for jee aspirant who goes for school

  • @PRINCEA1977
    @PRINCEA1977 4 місяці тому +2

    16:50🤜🤛👍👍yes sir kar lenge.

  • @Tecnical_king
    @Tecnical_king 4 місяці тому +96

    Jo jo half yearly exam se ik din pehle dekh rha h like kro ❤

  • @DevanshKashyap-l1t
    @DevanshKashyap-l1t 4 місяці тому +2

    17:00 yes sir agar interval given hoga toh hum nikal lege 👍👍👍👍👍👍👍👍👍👍👍👍👍👍

  • @jatin-n6r
    @jatin-n6r 5 місяців тому +24

    Sir What about Integrals 😢😢😢😢

  • @cricketx45
    @cricketx45 5 місяців тому +2

    Thanks Sir ❤ 😊

  • @AnujDwivedi-e3p
    @AnujDwivedi-e3p 4 місяці тому +9

    16:46 yes

  • @PrdeepSaroj-xn5sb
    @PrdeepSaroj-xn5sb 2 дні тому +1

    बहुत बहुत धनवाद ❤❤sir ji

  • @paramvirsingh-qf3bd
    @paramvirsingh-qf3bd 5 місяців тому +3

    Very nice lecture sir❤❤❤❤❤❤❤

  • @ArpitChiragSharma
    @ArpitChiragSharma 2 місяці тому +1

    16:48 samajh aagya guru ji 👍👍✅✅

  • @shilpiart2790
    @shilpiart2790 4 місяці тому +4

    36:02 sir 0 to na hi positive hota h na hi negative to aap ye Kaise bol skte ho ki ye increasing hoga sir ji f'(x)=0 ka mtlb to slope 0 hua na to ye to x axis ke parallel hua to ye na hi increasing h na hi decreasing hai at f'(x)=0
    Am I write sir 36:02

    • @kakashi69696
      @kakashi69696 4 місяці тому

      see the rules in ncert dude f'x = 0 means increasing

  • @adityajoshi6807
    @adityajoshi6807 3 місяці тому +1

    16:48 sir agya smjh.. 33:38 👍 41:56 very helpful sir..

  • @eitansh3548
    @eitansh3548 Місяць тому +3

    32:46 par Increasing decreasing increasing hoga

  • @ujjwalgandharv1308
    @ujjwalgandharv1308 5 місяців тому +6

    Thankyou sir ek bar first book ka revision kara dena term_1 exam ke liya

  • @Vaibhavshenoy_07
    @Vaibhavshenoy_07 3 місяці тому +2

    32:41 the answer is [0, 45)is decreasing and second one is decreasing and third one is increasing

    • @raushan2007
      @raushan2007 11 днів тому +1

      Sir ne value wrong put kiya hai isliye first one is increasing

  • @TIGON-OFFICIAL
    @TIGON-OFFICIAL 5 місяців тому +7

    Gud evening sir kaise ho, thanku is lecture ke liye kal test h 🤗

  • @AnkushRaj_2008
    @AnkushRaj_2008 Місяць тому +1

    25:10 decreasing in ( - infinte,3/4) and increasing in (3/4, infinte)...

  • @jessicachhabra.16
    @jessicachhabra.16 2 місяці тому +3

    32:48 refer example 13 of AOD cos pi/6 = root3/2 and cos pi/3= 1/2 guys pls do not rely on his calculations! the whole answer is different

  • @jyotisharma2588
    @jyotisharma2588 Місяць тому +1

    Sab kuchh samajh aa gya sir 😊😊

  • @radhe-krishna.459
    @radhe-krishna.459 5 місяців тому +13

    After wasting so much time🥲,
    finally found the best teacher of mathematics 💞
    each and every thing is clear by this session 👍👍
    thank you soo much sir 🙏🙏🙏
    sir i got full marks in test by following ur tips of solving mathematical problems🥰💞💞💞

  • @Laymanplays69
    @Laymanplays69 8 днів тому

    00:04 - Introduction to Application of Derivatives Chapter in Maths
    00:50 - The chapter covers Rate of Change, Increasing & Decreasing Functions, and Maximum Minimum.
    02:39 - Understanding increasing and decreasing functions through slope analysis
    04:04 - Understanding increasing and decreasing functions in calculus
    05:37 - Understanding the positive slope in increasing functions
    06:29 - Understanding increasing and decreasing functions
    08:14 - Understanding the process of determining intervals for increasing and decreasing functions.
    09:35 - Understand how positive and negative values affect increasing and decreasing functions
    11:21 - Understanding how functions change
    12:02 - Understanding increasing and decreasing logarithmic functions
    14:15 - Understanding increasing and decreasing functions
    15:02 - Derivative of sinx-cosx function
    17:19 - Identify critical points for increasing & decreasing functions
    18:27 - Understanding critical points for increasing & decreasing functions
    20:37 - Understanding increasing and decreasing functions in calculus
    21:32 - Understanding increasing and decreasing functions
    23:35 - Understanding how to determine the sign of a number
    24:22 - Identifying increasing and decreasing functions on intervals
    26:36 - Derivative and factorization to find intervals
    27:44 - Introduction to derivatives of power functions
    29:26 - Finding values using the question is important
    30:34 - Determining intervals where trigonometric functions are positive or negative
    32:22 - Identifying increasing functions using derivatives
    33:23 - Discussing methods to simplify solving intervals in increasing and decreasing functions.
    35:24 - Understanding increasing and decreasing functions
    36:09 - Identifying critical points while analyzing functions
    38:00 - Understanding increasing and decreasing functions
    39:09 - Understanding increasing and decreasing functions
    41:01 - Understanding critical points in calculus
    41:41 - Understanding and Deriving Functions for Increasing and Decreasing

  • @dmgaham8237
    @dmgaham8237 5 місяців тому +3

    Sir very very thankyou today is my maths paper and its 3:40AM NOW i am watching this video 🙏🙏🙏🙏

  • @deepakkumartiwari6373
    @deepakkumartiwari6373 7 днів тому +1

    Majo agyo sir ye lecture dekhne ke baad sari ncert ki exercise ban ja😊 rhi hai thanks sir ji😊

  • @_Ahsan_98
    @_Ahsan_98 2 місяці тому +1

    17:06 hnn sir mja aa gya jb interval given hote hai too🎉🎉🎉

  • @uttaranpaulchoudhury8293
    @uttaranpaulchoudhury8293 5 місяців тому +3

    17:00 clear sir.
    Please bring integration video asap

  • @Nehapriya999
    @Nehapriya999 29 днів тому +1

    It is very helpful for me I was struggling to find the intervals but now I cleared my all doubts thank you sir ❤

  • @pranshu.mishra
    @pranshu.mishra 5 місяців тому +3

    Thank You sir for this wonderful lecture

  • @PIYUSHGAMING5049
    @PIYUSHGAMING5049 Місяць тому +2

    Best maths teacher ever!

  • @sifatkaur7401
    @sifatkaur7401 4 місяці тому +3

    16:55 Done ✨👍

  • @RupamLokhande
    @RupamLokhande 2 місяці тому +1

    16:50 👍 Ji guruji bilkul nikal lenge

  • @IDontKnow-iw7eu
    @IDontKnow-iw7eu 5 місяців тому +17

    17:00 clear sir

  • @AnshulTiwari-lq5oq
    @AnshulTiwari-lq5oq 3 місяці тому +1

    16:55 Laddu Hi to khana hai easy peasy 😊😊

  • @NaitikDhiman-t4s
    @NaitikDhiman-t4s 4 місяці тому +3

    Thank you sir
    I was troubling for this chapter then I searched any video but your lecture come to me and now I am happy

  • @comicalgaurdian
    @comicalgaurdian 10 днів тому

    thank you sir ❤
    16:52 interval given ho toh ques ho jayega
    28:40 dec,dec,inc,inc

  • @EklavyaAnand-t4w
    @EklavyaAnand-t4w 5 місяців тому +3

    thank you sir ,sir please post integration as well

  • @ANUJYADAV-u5x9w
    @ANUJYADAV-u5x9w 2 місяці тому +1

    16:54 yes sir Agar interval diya hoga to function increasing ya fir decreasing hai check Kar lege

  • @rakshitgoyal2020
    @rakshitgoyal2020 5 місяців тому +5

    Thank you so much sir

  • @Khushal265
    @Khushal265 26 днів тому +1

    Thank you so much sir, BHATTAKTE- BHATTAKTE, socha 10th me maths jin se padhta hun unse padh leta hu , thankyou sir really 10th class ka yaad aagaya, woh subah ke 4 se 5 baje , questions practice karwate the maja aa jata tha❤❤❤❤❤❤❤❤❤🎉🎉🎉🎉

  • @RISHIXYZOP
    @RISHIXYZOP 5 місяців тому +4

    10:56 chumeshwari question😂

  • @gyan_ganga-108
    @gyan_ganga-108 3 дні тому

    Very helpful video..... Hats off to you sir.....

  • @AmitFouzdar-k4n
    @AmitFouzdar-k4n 5 місяців тому +3

    Sir, please create the oneshot of whole first book 😊

  • @nikhilesharun1026
    @nikhilesharun1026 19 днів тому

    28:42 decreasing in (-♾ , -1) U (-1 , 1)
    & increasing in (1 , 3) U (3 , ♾)
    Correct h to give me a thumbs up 👍 😅

  • @Brihaspati13132
    @Brihaspati13132 4 місяці тому +3

    Sar Jab ham log interval nikale to critical point ko open bracket main Rakhenge yeah closed bracket mein 19:59

  • @AnjuTripathi-m9u
    @AnjuTripathi-m9u 12 днів тому

    16:50 Yes sir ab ban raha hai question ❤

  • @AkshilJain
    @AkshilJain 4 місяці тому +3

    16:54 clear 👍🏻

  • @Factstalks-x9n
    @Factstalks-x9n 3 місяці тому +1

    Amazing one shot of increasing and decreasing function you have made sir 💯

  • @subaxe0
    @subaxe0 Місяць тому +13

    Kaddu gang attendance here

  • @hutkeshwetansh99
    @hutkeshwetansh99 18 днів тому +1

    17:03
    Sir sir 👍👍👍👍👍

  • @mayajoshi501
    @mayajoshi501 5 місяців тому +3

    Thank you sir

  • @gunjansaini2579
    @gunjansaini2579 4 місяці тому +2

    Thank you so so much Ushank Sir ❤️❤❤❤️ your teaching is amazing. Lectures are so helpful pyq's, short tricks and methods are very useful. I am following you from class 10th it's been 2 years and see I am still here learning from you! It's totally you, your behavior and teaching. Thank you sir. ✨️🌸❤

  • @dearsirofficial2.0
    @dearsirofficial2.0 4 місяці тому +6

    2024-2025 ATTENDENCE HERE 👇👇🎉🎉

  • @yashy.w.j8154
    @yashy.w.j8154 5 місяців тому +2

    The best video on the application of Derivatives

  • @hackingexperiment1826
    @hackingexperiment1826 5 місяців тому +3

    35:29 pr special word ka use.....

  • @ishwarpandit729
    @ishwarpandit729 4 місяці тому +2

    Thanku sir bhaut acha pdhya apne 😊

  • @nikhilarora.
    @nikhilarora. 5 місяців тому +7

    16:53 done sir 🫶🏻

  • @ParthAwasthi-p5v
    @ParthAwasthi-p5v 2 місяці тому

    16:49 han sir easy hai bohot kar lenge 👍👍👍👍👍👍👍👍👍👍👍👍

  • @RaazYadav-p2f
    @RaazYadav-p2f Місяць тому +3

    Kon kon December 😢 mei dekh rha hai 😬😂

  • @anchalbhandari6207
    @anchalbhandari6207 3 дні тому

    16:51 yes sir interval given hogaaa toh ham kar lenge ye smjh m aagayaaa

  • @KOTHA_BHAI
    @KOTHA_BHAI 4 місяці тому +5

    Kal kis kis ka paper hai jo aaj padh raha hai😂 sir ke liye ek ❤ like tho Banta hai

  • @Partnerplayhouse
    @Partnerplayhouse 19 днів тому

    16:50 yes sir interval m ab easily kr skte h tq❤🎉

  • @comedytamizhan26
    @comedytamizhan26 5 місяців тому +5

    Any tamil friends here?

    • @midnightangles407
      @midnightangles407 4 місяці тому +1

      இல்லை

    • @psyche1182
      @psyche1182 2 місяці тому +1

      Why? Do u guys understand the hindi?

    • @comedytamizhan26
      @comedytamizhan26 2 місяці тому +1

      @@psyche1182 Yes I do
      Being the son of a military man

    • @midnightangles407
      @midnightangles407 2 місяці тому +1

      @@comedytamizhan26 send your father my salute and respect 🙏

    • @comedytamizhan26
      @comedytamizhan26 2 місяці тому +2

      @midnightangles407 sure brother♥️

  • @ShivamSinghRajput-d6w
    @ShivamSinghRajput-d6w 4 місяці тому +1

    17:02 # clear hogya sir jiii🎉🎉

  • @YashKhowala
    @YashKhowala 17 днів тому

    You made it so simple 🙏🏻🙏🏻

  • @Garvit-113
    @Garvit-113 3 дні тому +1

    31:45
    sir yaha par f'(x)=cosx-sinx he lekin sir aap (0,π/4) me f'(x) ki jhagha f(x) rakh rahe hoo eisi liye sir ye increasing hoga

  • @Ngclout.6.9
    @Ngclout.6.9 4 місяці тому +1

    Sir thank you so much you are a best teacher ❤❤❤

  • @ProGamerBro2006
    @ProGamerBro2006 4 місяці тому +1

    VERY USEFUL LECTURE😀😀😀😀

  • @PushkarChauhan-es2bc
    @PushkarChauhan-es2bc 2 місяці тому +2

    Sir itne teachers ki video dekhli thi kuch smjh hi nhi aata tha 😭 now I'm thinking I'm in right place luv u sir 💓

  • @kushaljain2636
    @kushaljain2636 20 днів тому

    Timestamps (Powered by Merlin AI)
    00:04 - Introduction to Application of Derivatives Chapter in Maths
    00:50 - The chapter covers Rate of Change, Increasing & Decreasing Functions, and Maximum Minimum.
    02:39 - Understanding increasing and decreasing functions through slope analysis
    04:04 - Understanding increasing and decreasing functions in calculus
    05:37 - Understanding the positive slope in increasing functions
    06:29 - Understanding increasing and decreasing functions
    08:14 - Understanding the process of determining intervals for increasing and decreasing functions.
    09:35 - Understand how positive and negative values affect increasing and decreasing functions
    11:21 - Understanding how functions change
    12:02 - Understanding increasing and decreasing logarithmic functions
    14:15 - Understanding increasing and decreasing functions
    15:02 - Derivative of sinx-cosx function
    17:19 - Identify critical points for increasing & decreasing functions
    18:27 - Understanding critical points for increasing & decreasing functions
    20:37 - Understanding increasing and decreasing functions in calculus
    21:32 - Understanding increasing and decreasing functions
    23:35 - Understanding how to determine the sign of a number
    24:22 - Identifying increasing and decreasing functions on intervals
    26:36 - Derivative and factorization to find intervals
    27:44 - Introduction to derivatives of power functions
    29:26 - Finding values using the question is important
    30:34 - Determining intervals where trigonometric functions are positive or negative
    32:22 - Identifying increasing functions using derivatives
    33:23 - Discussing methods to simplify solving intervals in increasing and decreasing functions.
    35:24 - Understanding increasing and decreasing functions
    36:09 - Identifying critical points while analyzing functions
    38:00 - Understanding increasing and decreasing functions
    39:09 - Understanding increasing and decreasing functions
    41:01 - Understanding critical points in calculus
    41:41 - Understanding and Deriving Functions for Increasing and Decreasing