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Chuan_Calculus
Тайвань
Добавлен 22 янв 2022
Hi ! I'm Chuan🐶.
A dog person who LOVES math.ʕ•ٹ•ʔ
Here are lots of brilliant and helpful Tutorials about Calculus.
I'll share Brilliant calculus problems on my RUclips.
Trust me, you'll become a calculus lover, too !
Subscribe my RUclips channel !
and
Follow my Instagram !
I'll do integrals for you everyday in my story !
Let’s ROAR TO A+!
First video：05/29/2022
A dog person who LOVES math.ʕ•ٹ•ʔ
Here are lots of brilliant and helpful Tutorials about Calculus.
I'll share Brilliant calculus problems on my RUclips.
Trust me, you'll become a calculus lover, too !
Subscribe my RUclips channel !
and
Follow my Instagram !
I'll do integrals for you everyday in my story !
Let’s ROAR TO A+!
First video：05/29/2022
Two Optimization Problems for You! (Application of Differentiation)
微分應用裡，除了函數作圖，另一個具有挑戰的主題就是
👉 最佳化問題 (Optimization Problem)
最大的困難是把應用問題「文字敘述」轉化為「數學模型」
再來，就是透過一階導函數測試 (First Derivative Test)，
找出極大、極小值所在之處。
🔻Q1:
A painting in an art gallery has height h and is hung so that
its lower edge is a distance d above the eye of an observer.
How far from the wall should the observer stand to get the best view?
(In other words, where should the observer stand so as to
maximize the angle θ subtended at his eye by the painting?)
🔻Q2:
Where should the point P be chosen on the line segment AB
so as to maximize the angle θ?
⬇️ 學校『不會』教你的微積分🔥EP001、EP002、EP003
ruclips.net/p/PL2rwSaFCww-b1CgRyYG1drubGSSYCaAUx
⬇️『十大』常見積分錯誤🔥四大積分技巧【2022 年度特別企劃】
ruclips.net/video/4g4v2UubZBA/видео.html
⬇️lim_(x→...
👉 最佳化問題 (Optimization Problem)
最大的困難是把應用問題「文字敘述」轉化為「數學模型」
再來，就是透過一階導函數測試 (First Derivative Test)，
找出極大、極小值所在之處。
🔻Q1:
A painting in an art gallery has height h and is hung so that
its lower edge is a distance d above the eye of an observer.
How far from the wall should the observer stand to get the best view?
(In other words, where should the observer stand so as to
maximize the angle θ subtended at his eye by the painting?)
🔻Q2:
Where should the point P be chosen on the line segment AB
so as to maximize the angle θ?
⬇️ 學校『不會』教你的微積分🔥EP001、EP002、EP003
ruclips.net/p/PL2rwSaFCww-b1CgRyYG1drubGSSYCaAUx
⬇️『十大』常見積分錯誤🔥四大積分技巧【2022 年度特別企劃】
ruclips.net/video/4g4v2UubZBA/видео.html
⬇️lim_(x→...
Просмотров: 2 884
Видео
I've got the same result of ∫ 1/(1+x^5) dx as WolframAlpha!
Просмотров 25 тыс.8 месяцев назад
⚔️ 挑戰 1/(x^5 1) 積分！我積分出跟 WolframAlpha 跑出來一樣的結果！ 00:00 彩蛋滿滿🥚一定要看到最後🍿 00:38 因式分解 (Factorization) 01:54 部分分式分解 (Partial Fraction Decomposition) 08:44 算出所有係數 (Coefficients) 13:57 開始 ∫ 1/(1 x^5) dx 兩大關鍵🔑積分技巧 26:33 我最期待❤️的部分 27:30 分享👉影片製作困難之處 ⬇️ 學校『不會』教你的微積分🔥EP001、EP002、EP003 ruclips.net/p/PL2rwSaFCww-b1CgRyYG1drubGSSYCaAUx ⬇️『十大』常見積分錯誤🔥四大積分技巧【2022 年度特別企劃】 ruclips.net/video/4g4v2UubZBA/видео.html ⬇️l...
🔥Ultimate Strategy of Curve Sketching: Graph y=ln(sinx) by Calculus✍️ ∫ln(sin(x))dx from x=0 to pi/2
Просмотров 2 тыс.8 месяцев назад
🎃去年萬聖節，我做了超經典的 ∫ ln(sinx) dx 定積分 (題目出自 MIT Integration Bee🐝) 🎃今年萬聖節，我要徒手畫出 y=ln(sinx)✍️ 微分作圖題 (Curve Sketching) 全網最詳盡解說😎 就在今天這部影片，超派～💀 🔻Opening 00:00 萬聖節幾月幾號？ 00:38 作圖題：流程 A~C 簡述 02:38 作圖題：流程 D~H 簡述 🔻開始畫 y=ln(sinx) 03:34 流程 A~C 完整解說 06:04 流程 D 完整解說 🔎 水平漸近線 (Horizontal Asymptotes) 🔎 鉛直漸近線 (Vertical Asymptotes) 09:16 流程 E 完整解說 🔎 遞增↗區間 (Interval of Increase) 🔎 遞減↘區間 (Interval of Decrease) 12:11 流程...
0+0+⋯+0 ≠ 0😱 WHY?!! The Crucial Concepts of Indeterminate Form in Limits! (for calculus 1 students)
Просмотров 49 тыс.8 месяцев назад
0 0 ⋯ 0 ≠ 0😱 WHY?!! The Crucial Concepts of Indeterminate Form in Limits! (for calculus 1 students)
10 Challenging Limit Problems! Can you survive?😱(part1)🔎Riemann Sum, Squeeze Theorem, Floor Function
Просмотров 4,5 тыс.10 месяцев назад
10 Challenging Limit Problems! Can you survive?😱(part1)🔎Riemann Sum, Squeeze Theorem, Floor Function
7 Cruel Limits🤫We Can't Use L'Hôpital's Rule!🔎"Calculus They Don't Teach You At School!" EP002
Просмотров 8 тыс.10 месяцев назад
7 Cruel Limits🤫We Can't Use L'Hôpital's Rule!🔎"Calculus They Don't Teach You At School!" EP002
When you didn't study calculus, but still achieved a perfect score. (seven indeterminate form)
Просмотров 1,2 тыс.10 месяцев назад
When you didn't study calculus, but still achieved a perfect score. (seven indeterminate form)
🔥BREAKING NEWS: Why Are They Correct❓lim(x→0) sin(x°)/x vs. lim(x→0) sin(x)/x #shorts #calculus
Просмотров 88211 месяцев назад
🔥BREAKING NEWS: Why Are They Correct❓lim(x→0) sin(x°)/x vs. lim(x→0) sin(x)/x #shorts #calculus
🔥Geometric Proof & Application for Sum-to-Product Formula and Angle Addition Formula
Просмотров 2,2 тыс.11 месяцев назад
🔥Geometric Proof & Application for Sum-to-Product Formula and Angle Addition Formula
"Calculus They Don't Teach You at School!" Use "definition" to get derivatives.[by first principles]
Просмотров 1,9 тыс.11 месяцев назад
"Calculus They Don't Teach You at School!" Use "definition" to get derivatives.[by first principles]
Vector Calculus : Divergence Theorem for region includes the undefined point! (two examples)
Просмотров 1,2 тыс.Год назад
Vector Calculus : Divergence Theorem for region includes the undefined point! (two examples)
Quick-Play Spell : Unveiling the quickest solution! Multivariable Chain Rule, Double Integration
Просмотров 1,5 тыс.Год назад
Quick-Play Spell : Unveiling the quickest solution! Multivariable Chain Rule, Double Integration
Change of Variables VS Change the Order of Integration! Four calculus problems from NTU (calc1,2,3)
Просмотров 1,5 тыс.Год назад
Change of Variables VS Change the Order of Integration! Four calculus problems from NTU (calc1,2,3)
VECTOR Calculus : Conservative Field, Jacobian for changes of variables, Evaluate Surface Integral
Просмотров 2 тыс.Год назад
VECTOR Calculus : Conservative Field, Jacobian for changes of variables, Evaluate Surface Integral
Can Area Be Negative? What's the Relation between Definite Integral & Area from Riemann Sum?
Просмотров 1,4 тыс.Год назад
Can Area Be Negative? What's the Relation between Definite Integral & Area from Riemann Sum?
"If there are only two months left before the exam, can I still make it?" Study tips for you!
Просмотров 1,8 тыс.Год назад
"If there are only two months left before the exam, can I still make it?" Study tips for you!
CALCULUS-3 for Multivariable Functions : Limit, Continuous, Differentiable, Directional Derivatives
Просмотров 1,4 тыс.Год назад
CALCULUS-3 for Multivariable Functions : Limit, Continuous, Differentiable, Directional Derivatives
Integral of (arcsinx)^2 with step-by-step tutorial! Nice problem from Stewart's Calculus textbook
Просмотров 716Год назад
Integral of (arcsinx)^2 with step-by-step tutorial! Nice problem from Stewart's Calculus textbook
😳Integral Techniques That Will Revolutionize⚔️ Your Perspective! (from JEE Main, calculus 2)
Просмотров 2,3 тыс.Год назад
😳Integral Techniques That Will Revolutionize⚔️ Your Perspective! (from JEE Main, calculus 2)
Integral Battle With Exponential Function! e^x+1/e^x-1 VS e^x+e^-x/e^x-e^-x Which One Is Harder?
Просмотров 877Год назад
Integral Battle With Exponential Function! e^x 1/e^x-1 VS e^x e^-x/e^x-e^-x Which One Is Harder?
How To Be A Winner🏅In Calculus Exams? 5 Calculus Problems From 111 TCUS Calculus Exam in Taiwan
Просмотров 4,7 тыс.Год назад
How To Be A Winner🏅In Calculus Exams? 5 Calculus Problems From 111 TCUS Calculus Exam in Taiwan
【K.O WolframAlpha】Impossible integral of infinite terms of root functions! By using Taylor series!
Просмотров 841Год назад
【K.O WolframAlpha】Impossible integral of infinite terms of root functions! By using Taylor series!
My cute cat will join in today's video! Calculus Exam from National Taiwan University (5 problems)
Просмотров 1,5 тыс.Год назад
My cute cat will join in today's video! Calculus Exam from National Taiwan University (5 problems)
Calculus Exam from National Taiwan University (NTU) Be careful with the last integral problem!
Просмотров 1,4 тыс.Год назад
Calculus Exam from National Taiwan University (NTU) Be careful with the last integral problem!
The truth behind🎄Christmas Equation🎄That's why there're lots of EXAMS on X-MAS!
Просмотров 474Год назад
The truth behind🎄Christmas Equation🎄That's why there're lots of EXAMS on X-MAS!
😱10 Common Mistakes Put Your🫵Calculus Final At Risk⚠️(for calculus 2 students)
Просмотров 8 тыс.Год назад
😱10 Common Mistakes Put Your🫵Calculus Final At Risk⚠️(for calculus 2 students)
A good improper integral from 109 NTU Calculus Transfer Exam in Taiwan
Просмотров 1,7 тыс.Год назад
A good improper integral from 109 NTU Calculus Transfer Exam in Taiwan
🔥100 calculus integrals in 100 consecutive days! Crack the WIFI password today!
Просмотров 451Год назад
🔥100 calculus integrals in 100 consecutive days! Crack the WIFI password today!
🔥Day98 It looks impossible, but it’s an EASY integral with Partial Fraction Decomposition #calculus
Просмотров 540Год назад
🔥Day98 It looks impossible, but it’s an EASY integral with Partial Fraction Decomposition #calculus
🔥Day95 AMAZING integral of (x^2+1)/(x^4+1) with brilliant substitution #calculus #integration
Просмотров 393Год назад
🔥Day95 AMAZING integral of (x^2 1)/(x^4 1) with brilliant substitution #calculus #integration
第七題黎曼引理？
全微分好用
聲音好好聽 戀愛了❤
好說好說❤️
請問兩ㄅㄨˊ是什麼意思
就是兩坨的意思😂
有的老師可能不會
確實🤣
老師講的超好剪輯也很有用心
感謝支持❤️
笑死我剩兩天才看到這影片😂
考的還行嗎😆
還以為是用sin(60-45)的差角公式😂
13:17我阿嬤真的會算高中微積分怎麼辦😂
是啊
Cox
❤
黃色和綠色是什麼意思 有人知道嗎
積化和差、和差化積都是和角公式把變數換掉、自然而然的結果啊！例如sin8x cos5x 看到相乘與其「想到積化和差然後套口訣」不如回想一下和角公式sin(角a+角b)裡不就有出現sin角a和cos角b相乘了嗎？所以寫兩遍和角公式兩式之間四則運算來抵銷多餘項就可以了 所以我覺得雖然高中沒教到，但只要學過和角公式，大學再推導、熟練應該也是沒問題的
相見恨晚啊😢😢
看到爽摳摳爽就訂閱了
這我
以切表弦
Why did you stop posting videos?
喔不 考完才看到這部片 Q
微積分期末考嗎😅
是的呦 但只有這題不確定而已xd
8:31 可以上下同乘e^-x然後令k=e^-x
每次看犬的影片都覺得很有收穫 也感受到滿滿溫暖😊
耶～很開心能幫助到你😃
很用心 推推！
推！受益良多，觀念說的很好很仔細！
爽摳摳爽😮
Great!!!
Thanks!!
√(t^2)=|t|
Cosx dx = d(sinx)怎麼變出來的
d sin(x)/dx=cos(x)
0.25 另外想問這題用黎曼和要怎麼寫
嚇死我 以為台灣學測有 Improper Integral 我工程師朋友到大學都只是學第一種而已
這些是大一微積分範圍😅 那你是哪裡人～
@@ThisisChuan 香港
1/4 超派😎
講解非常清楚明瞭
推推
請問Chaun老師可以出112的C卷嗎?
邏輯思維非常令人佩服，獲益良多，謝謝🙏
15:14 套子要套好比較安全😂
請問影片講解這題是否也能用黎曼和算出？
影片很用心 非常讚👍
c 可以上下同乘以e^-2x
上面補上 +e^2x-e^2x 也可以對吧
應該也可以直接令u=1+e^x, 上面一樣拆開 就不用+1-1 😊
頭像好可爱❤😊
CHUAN可以講解更多雙重積分的轉學考題目嗎🤩
收到🫡
這份考卷不用說全部寫完，你能保證全程沒有計算錯誤我都給你跪了
看起來是沒有全對😅 填充第三有誤
can u teach how to simplify natural log identities in the final answer
爽
112還會出嗎?
How did u sub work even though derivative wasnt there
10:17
我估計還有人還會記錯前面的係數2, -2, 1/2, -1/2，還有cos、sin先後？所以我的口訣是： 積化和差，半和差(係數是1/2，而不是2)。 和差化積，和差半(和角的一半；差角的一半；共2個一半)。 貸貸相加，先理債(先寫sin) 貸貸相減，有夠派(先寫cos) 摳摳相加，放口袋(諧音cos) 摳摳相減，負二代(係數是-2，諧音sin)
感謝口訣分享😃 這套公式背法激發很多不同的創意😆