๐’๐ˆ๐๐†๐˜๐„ ๐’๐ญ๐ฎ๐๐ข๐จ
๐’๐ˆ๐๐†๐˜๐„ ๐’๐ญ๐ฎ๐๐ข๐จ
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Interesting Results of โˆซ(cosec(x))dx | Calculus | Math | Part 2/2 | Bhutan
In this video, I derive some of the interesting results for indefinite integral: โˆซ(cosec(x))dx.This is final of two parts.
Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me.
Part I: th-cam.com/video/ffhPXe_hngE/w-d-xo.htmlsi=HGZIdGjDrxmFkTWE
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โˆซ(sec(x))dx : Part I: th-cam.com/video/H_lTqJ49LIU/w-d-xo.htmlsi=J5WOfqVow9F3H0MO
Part II: th-cam.com/video/rsnaQlXSmJA/w-d-xo.htmlsi=kxdx__CwKKBhHndZ
Part III: th-cam.com/video/2WxnQQiX6ak/w-d-xo.htmlsi=LtDzhbKnMTGVzuzw
More to Watch: th-cam.com/video/Mj9pL5nj0HQ/w-d-xo.htmlsi=PjK7VYK2XI54ku2u
th-cam.com/video/9vssnm4q3GA/w-d-xo.htmlsi=Vy9wNViuR9D-5jn_
th-cam.com/video/UJvYWVx3osI/w-d-xo.htmlsi=oIF0V4pERY_Q3GJ9
th-cam.com/video/ZEYsoBqp-gM/w-d-xo.htmlsi=uXqiaiYDIQwN7mtk
Evaluating Determinant: th-cam.com/video/HautaMfdrFs/w-d-xo.htmlsi=gIE_cwVZ3FBrSL5W
Matrix: th-cam.com/video/MbxZxPMEdCg/w-d-xo.htmlsi=mF8q7blAg7uyLcpu
#bhutan #dailyconcepts #mathematics #reddit #calculus #linearalgebra #instagram
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Links(my other videos and blog):
Google Scholar: scholar.google.com/citations?view_op=list_works&hl=en&hl=en&user=A7MmWIsAAAAJ
Researchgate: www.researchgate.net/profile/Singye-Wangchuk-7
Visit my Blog: physicswithsingye.blogspot.com/
LinkedIn: in.linkedin.com/in/singye608
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Previous Videos:
Standard Model of particles: th-cam.com/video/kPQwpRVEqls/w-d-xo.html
CMB: th-cam.com/video/3h3gQZb_Moo/w-d-xo.html
Facts about Universe: th-cam.com/video/eWQ6c-X0PlE/w-d-xo.html
Bjuchu Thangka Dema: th-cam.com/video/gi5uB0idSBk/w-d-xo.html
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My resources:
1. Video editing software I use: Davinci Resolve 18, VN Editor
(check out Google AppStore and apple store)
2. Animation software I use: krita
krita.org/en/download/krita-desktop/
3. Photos and music: Royalty free photos and music (check websites)
Free footage: www.pexels.com/
4. Writing and editing tech I use: iPad Air(4th gen), Macbook Air M2
5. Camera I use: oppo f15, ipad air4
Instagram: singye__608
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0:00 Introduction
2:03 First Result
2:14 Modification for second result
4:41 Modification for third result
7:08 Final Results
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เธกเธธเธกเธกเธญเธ‡: 28

เธงเธตเธ”เธตเน‚เธญ

Interesting Results of โˆซ(cosec(x))dx | Calculus | Math | Part 1/3 | Bhutan
เธกเธธเธกเธกเธญเธ‡ 2721 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ
In this video, I derive some of the interesting results for indefinite integral: โˆซ(cosec(x))dx.This is first of two parts. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. Part II: th-cam.com/video/EOpBRQ32ERs/w-d-xo.htmlsi=8rJZYVq-cN8tJ98u โˆซ(sec(x))dx : Part I: th-cam.com/vi...
Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 3/3 | Bhutan
เธกเธธเธกเธกเธญเธ‡ 3028 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ
In this video, I derive some of the interesting results for indefinite integral: โˆซ(sec(x))dx.This is the final part. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. Part I: th-cam.com/video/H_lTqJ49LIU/w-d-xo.htmlsi=MQL5_O-fGjk-Y17o Part II: th-cam.com/video/rsnaQlXSmJA/w-d-...
Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 2/3 | Bhutan
เธกเธธเธกเธกเธญเธ‡ 5028 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ
In this video, I derive some of the interesting results for indefinite integral: โˆซ(sec(x))dx.This is part two of three parts. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. Part I: th-cam.com/video/H_lTqJ49LIU/w-d-xo.htmlsi=MQL5_O-fGjk-Y17o Part III: More to Watch: th-cam.c...
Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 1/3 | Bhutan
เธกเธธเธกเธกเธญเธ‡ 4928 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ
In this video, I derive some of the interesting results for indefinite integral: โˆซ(sec(x))dx.This is first of three parts. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. Part II: More to Watch: th-cam.com/video/Mj9pL5nj0HQ/w-d-xo.htmlsi=PjK7VYK2XI54ku2u th-cam.com/video/9vs...
Equation of Parabola | Parabola Characteristics | BHSEC Question | Bhutan
เธกเธธเธกเธกเธญเธ‡ 24เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I solve one question from BHSEC 2022 Mathematics paper which is about parabola and its characteristics. This is from conic section. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. More to Watch: th-cam.com/video/ZEYsoBqp-gM/w-d-xo.htmlsi=uXqiaiYDIQwN7mtk More ...
Equation of Parallel Lines | BHSEC Question | Bhutan
เธกเธธเธกเธกเธญเธ‡ 28เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I solve one system one question from BHSEC 2022 Mathematics paper which is about equation of parallel lines. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. More to Watch: th-cam.com/video/ZEYsoBqp-gM/w-d-xo.htmlsi=uXqiaiYDIQwN7mtk More to Watch: th-cam.com/vi...
Inverse Trig Question | BHSEC | Bhutan
เธกเธธเธกเธกเธญเธ‡ 49เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I solve one system one question from BHSEC 2022 Mathematics paper which is about proving statement related to inverse trigonometric functions. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. More to Watch: th-cam.com/video/ZEYsoBqp-gM/w-d-xo.htmlsi=uXqiaiYDIQw...
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐Œ๐š๐ซ๐ญ๐ข๐ง'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐๐‡๐’๐„๐‚๐Ÿ๐ŸŽ๐Ÿ๐Ÿ
เธกเธธเธกเธกเธญเธ‡ 19เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I solve one system one question from BHSEC 2022 Mathematics paper which is about solving systems of linear equations by Martin's Rule. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. Pre-requisite/Mandatory to watch: th-cam.com/video/E2kZLIt2UQU/w-d-xo.htmlsi=...
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐ˆ๐ง๐ฏ๐ž๐ซ๐ฌ๐ž ๐“๐ซ๐ข๐  ๐๐ฎ๐ž๐ฌ๐ญ๐ข๐จ๐ง | ๐๐‡๐’๐„๐‚ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ— | ๐Œ๐š๐ญ๐ก | ๐๐ก๐ฎ๐ญ๐š๐ง
เธกเธธเธกเธกเธญเธ‡ 19เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I solve one system one question from BHSEC 2019 Mathematics paper which is about inverse trigonometric functions. It was was the same paper which I approved back then in 2019 and unfortunately, I couldn't get the correct answer. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It me...
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐๐ซ๐จ๐›๐ฅ๐ž๐ฆ ๐Ÿ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
เธกเธธเธกเธกเธญเธ‡ 18เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I solve one system of linear equations using the Cramer's Rule involving some missing variables in each equation. While, the methods like comparison, elimination and substitution may be useful for systems having fewer variables and number of equations, Cramer's Rule is useful for solving systems having many equations and variables. Pre-requisite/Mandatory to watch: th-cam.com/vid...
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐๐ซ๐จ๐›๐ฅ๐ž๐ฆ ๐Ÿ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
เธกเธธเธกเธกเธญเธ‡ 12เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I solve one system of linear equations using the Cramer's Rule. While, the methods like comparison, elimination and substitution may be useful for systems having fewer variables and number of equations, Cramer's Rule is useful for solving systems having many equations and variables. Pre-requisite/Mandatory to watch: th-cam.com/video/E2kZLIt2UQU/w-d-xo.htmlsi=EWJ4DWzVV4IPfArr More...
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ ๐จ๐Ÿ ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ
เธกเธธเธกเธกเธญเธ‡ 23เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I provide the proof for the Cramer's Rule which uses properties of determinant to solve the system of linear equations. Hope you will enjoy. Pre-requisite/Mandatory to watch: th-cam.com/video/Mj9pL5nj0HQ/w-d-xo.htmlsi=PjK7VYK2XI54ku2u More to Watch: th-cam.com/video/9vssnm4q3GA/w-d-xo.htmlsi=Vy9wNViuR9D-5jn_ Evaluating Determinant: th-cam.com/video/HautaMfdrFs/w-d-xo.htmlsi=gIE_c...
๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐ง๐  ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ ๐›๐ฒ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
เธกเธธเธกเธกเธญเธ‡ 14เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I apply the properties of determinant to evaluate the determinant of given matrix. Hope you will enjoy. Pre-requisite/Mandatory to watch: th-cam.com/video/Mj9pL5nj0HQ/w-d-xo.htmlsi=PjK7VYK2XI54ku2u More to Watch: th-cam.com/video/9vssnm4q3GA/w-d-xo.htmlsi=Vy9wNViuR9D-5jn_ Matrix: th-cam.com/video/MbxZxPMEdCg/w-d-xo.htmlsi=mF8q7blAg7uyLcpu #bhutan #dailyconcepts #mathematics #redd...
๐๐š๐ญ๐ฎ๐ซ๐ž ๐จ๐Ÿ ๐ญ๐ก๐ž ๐ซ๐จ๐จ๐ญ๐ฌ ๐Ÿ๐ซ๐จ๐ฆ ๐ญ๐ก๐ž ๐ƒ๐ข๐ฌ๐œ๐ซ๐ข๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
เธกเธธเธกเธกเธญเธ‡ 17เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
In this video, I cover on the nature of the roots that can be determined based on the discriminant D=b^2-4ac. The roots can be real, equal, unique, complex as well as purely imaginary. Hope you all will enjoy. Please support this video! Pre-requisite video to watch: th-cam.com/video/vuTYSwfohdg/w-d-xo.htmlsi=LWT-sG3lyjrVpzR5 #bhutan #dailyconcepts #mathematics #reddit #calculus #linearalgebra #...
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ซ๐จ๐จ๐ญ ๐Ÿ๐จ๐ซ๐ฆ๐ฎ๐ฅ๐š | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
เธกเธธเธกเธกเธญเธ‡ 13เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ซ๐จ๐จ๐ญ ๐Ÿ๐จ๐ซ๐ฆ๐ฎ๐ฅ๐š | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐’๐ข๐ฆ๐ฉ๐ฅ๐ž ๐›๐ฎ๐ญ ๐ฅ๐จ๐ง๐  ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
เธกเธธเธกเธกเธญเธ‡ 14เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐’๐ข๐ฆ๐ฉ๐ฅ๐ž ๐›๐ฎ๐ญ ๐ฅ๐จ๐ง๐  ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐€๐ฉ๐ฉ๐ฅ๐ฒ๐ข๐ง๐  ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐Œ๐š๐ญ๐ซ๐ข๐œ๐ž๐ฌ
เธกเธธเธกเธกเธญเธ‡ 26เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐€๐ฉ๐ฉ๐ฅ๐ฒ๐ข๐ง๐  ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐Œ๐š๐ญ๐ซ๐ข๐œ๐ž๐ฌ
๐ˆ๐ฆ๐ฉ๐จ๐ซ๐ญ๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
เธกเธธเธกเธกเธญเธ‡ 11เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ˆ๐ฆ๐ฉ๐จ๐ซ๐ญ๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐†๐š๐ฎ๐ฌ๐ฌ-๐‰๐จ๐ซ๐๐š๐ง ๐„๐ฅ๐ข๐ฆ๐ข๐ง๐š๐ญ๐ข๐จ๐ง | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐‹๐ข๐ง๐ž๐š๐ซ ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ๐ฌ
เธกเธธเธกเธกเธญเธ‡ 35เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐†๐š๐ฎ๐ฌ๐ฌ-๐‰๐จ๐ซ๐๐š๐ง ๐„๐ฅ๐ข๐ฆ๐ข๐ง๐š๐ญ๐ข๐จ๐ง | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐‹๐ข๐ง๐ž๐š๐ซ ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
เธกเธธเธกเธกเธญเธ‡ 312 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ˆ๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ: โˆซ๐Ÿ-๐ญ๐š๐ง^๐Ÿ’(๐ฑ)๐๐ฑ (๐Ÿ๐ซ๐จ๐ฆ ๐ŸŽ ๐ญ๐จ \\๐ฉ๐ข/๐Ÿ’) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
เธกเธธเธกเธกเธญเธ‡ 272 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ˆ๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ: โˆซ๐Ÿ-๐ญ๐š๐ง^๐Ÿ’(๐ฑ)๐๐ฑ (๐Ÿ๐ซ๐จ๐ฆ ๐ŸŽ ๐ญ๐จ \\๐ฉ๐ข/๐Ÿ’) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฑ^๐ฑ^๐ฑ^๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐ƒ๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ญ๐ข๐จ๐ง
เธกเธธเธกเธกเธญเธ‡ 292 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฑ^๐ฑ^๐ฑ^๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐ƒ๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ญ๐ข๐จ๐ง
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ)๐œ๐จ๐ญ(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
เธกเธธเธกเธกเธญเธ‡ 432 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ)๐œ๐จ๐ญ(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ž๐œ(๐ฑ) = ๐ฌ๐ž๐œ(๐ฑ)๐ญ๐š๐ง(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
เธกเธธเธกเธกเธญเธ‡ 312 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ž๐œ(๐ฑ) = ๐ฌ๐ž๐œ(๐ฑ)๐ญ๐š๐ง(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ญ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
เธกเธธเธกเธกเธญเธ‡ 112 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ญ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ญ๐š๐ง(๐ฑ) = ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
เธกเธธเธกเธกเธญเธ‡ 192 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ญ๐š๐ง(๐ฑ) = ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ(๐ฑ) = - ๐ฌ๐ข๐ง(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
เธกเธธเธกเธกเธญเธ‡ 222 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ(๐ฑ) = - ๐ฌ๐ข๐ง(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง(๐ฑ) = ๐œ๐จ๐ฌ(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
เธกเธธเธกเธกเธญเธ‡ 132 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง(๐ฑ) = ๐œ๐จ๐ฌ(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
๐ˆ๐๐ค ๐ฐ๐ก๐š๐ญ ๐ˆ๐ฆ ๐๐จ๐ข๐ง๐  ๐ฐ๐ซ๐จ๐ง๐  | ๐‘๐ž๐๐๐ข๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ซ๐ข๐œ ๐Ÿ๐ฎ๐ง๐œ๐ญ๐ข๐จ๐ง๐ฌ
เธกเธธเธกเธกเธญเธ‡ 143 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™
๐ˆ๐๐ค ๐ฐ๐ก๐š๐ญ ๐ˆ๐ฆ ๐๐จ๐ข๐ง๐  ๐ฐ๐ซ๐จ๐ง๐  | ๐‘๐ž๐๐๐ข๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ซ๐ข๐œ ๐Ÿ๐ฎ๐ง๐œ๐ญ๐ข๐จ๐ง๐ฌ

เธ„เธงเธฒเธกเธ„เธดเธ”เน€เธซเน‡เธ™

  • @sonamnorbu3192
    @sonamnorbu3192 17 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    Soooo short man

    • @singyestudio608
      @singyestudio608 16 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

      @@sonamnorbu3192 yup. Didn't get time that make more.

  • @sonamnorbu3192
    @sonamnorbu3192 25 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    low visibility? lol omg

  • @sonamnorbu3192
    @sonamnorbu3192 25 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    local tay tsham jaundice khaywa la ko dhaa wai

  • @sonamnorbu3192
    @sonamnorbu3192 25 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    army dabu

  • @sonamnorbu3192
    @sonamnorbu3192 25 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    good lecturer

    • @singyestudio608
      @singyestudio608 23 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

      Keep watching๐Ÿ˜….

  • @sonamnorbu3192
    @sonamnorbu3192 25 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    omg bro noice

  • @singyestudio608
    @singyestudio608 25 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 25 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 29 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    road to 450 subs!

  • @singyestudio608
    @singyestudio608 29 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    Road 450 subs!

  • @singyestudio608
    @singyestudio608 29 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

    Support!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @sunkymathsclass
    @sunkymathsclass เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Keep it up bro, loved your videos

    • @singyestudio608
      @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

      @@sunkymathsclass thanks man! It means a lot to me!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @ugyendema2775
    @ugyendema2775 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Chabsue Choe ๐Ÿ™ ๐Ÿ™‡๐Ÿปโ€โ™€๏ธ๐Ÿ™‡๐Ÿปโ€โ™€๏ธ๐Ÿ™‡๐Ÿปโ€โ™€๏ธ

    • @singyestudio608
      @singyestudio608 29 เธงเธฑเธ™เธ—เธตเนˆเธœเนˆเธฒเธ™เธกเธฒ

      Thanks for watching la.

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road t0 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @olasunkanmibakinde5496
    @olasunkanmibakinde5496 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Fantastic ๐Ÿ‘

    • @singyestudio608
      @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

      Thanks for watching. Keep supporting!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @sunkymathsclass
    @sunkymathsclass เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Amazing matrix problem, keep it up bro

    • @singyestudio608
      @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

      Thank you, I will. I enjoy learning about matrix.

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 Subs!

  • @sunkymathsclass
    @sunkymathsclass เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Nice one bro, keep it up I just subscribed now

    • @singyestudio608
      @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

      Thank you so much brother for the support!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Roads to 450 subs!

  • @singyestudio608
    @singyestudio608 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Correction! The factor form of quadratic equation is y=a(x+p)(x+q) where p & q are roots(or zeros). In the video, I missed "a" which is same parameter in both standard form and vertex form. It is shape factor which determine how wide or narrow the curve is as well as decides whether it upward or downward parabola. Sorry for the mistake.

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Riad to 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road t0 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road t0 450 subs!

  • @singyestudio608
    @singyestudio608 2 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @KeyserTheRedBeard
    @KeyserTheRedBeard 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Great video, ๐’๐ˆ๐๐†๐˜๐„ ๐’๐ญ๐ฎ๐๐ข๐จ. Looking forward to your next upload! I smashed that thumbs up button on your content. Keep up the amazing work! Your breakdown of the quotient rule was very clear. How do you think this rule applies in more complex functions, especially when combined with implicit differentiation?

    • @singyestudio608
      @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

      Thanks for stopping by. The quotient rule still works for the implicit differentiation but one thing to take care about is the chain rule. We shouldn't forget it. For example if we have (2x/y) =3; (simple form), then if we want to find dyldx: 1. We can do implicit differentiation using quotient rule as: 1/y^2* {y2(1) - 2xdy/dx}=0 xdy/dx=y dy/dx=y/x. Just we shouldn't forget the chain rule even in implicit differentiation. 2. Other way: 2x=3y 2=3dy/dx dy/dx=2/3. Though (1) and (2) may look different, they are indeed equal and consistent. In (1), if you substitute x=3y/2 from the original function, it will yield in (1) as: dy/dx=y*{2/3y}=2/3 which corresponds to (2).

  • @singyestudio608
    @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Support!

  • @singyestudio608
    @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Support ๐ŸŽ‰.

  • @singyestudio608
    @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Support!

  • @singyestudio608
    @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 3 เธซเธฅเธฒเธขเน€เธ”เธทเธญเธ™เธเนˆเธญเธ™

    Subscribe!