【Rmath塾】媒介変数表示された関数のグラフ〜対称性と増減表〜
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数Ⅲ微分応用#27/35【関数のグラフ】媒介変数表示|6段増減表(重要例題)

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坊主にしました!

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高校数学Ⅲ 微分法の応用 増減表のつくり方 符号の判定はグラフで①
![Quadratic curves [parameters] Do you know what they are useful for?](https://i.ytimg.com/vi/ndSLTC_bkFQ/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLDQ3XCm28297qQrEWgCJ2zEPxuM6w)
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Quadratic curves [parameters] Do you know what they are useful for?

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Why hyperbolic functions are actually really nice

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微分は何を表しているのか?数学における重要な概念の解説

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【数Ⅲ】陰関数のグラフ【対称性を使って最低限の労力でグラフを描く】

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もう一つの虚数単位「j」

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二階微分>0 なぜ下に凸・指数関数の微分 名古屋大の問題の補足
![[Standard Level] Master Parametric Areas! From Graphing to Integration Calculations](https://i.ytimg.com/vi/NNZCxWsDnms/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLDwaBFBmAaUXpvmKrt1uT7gfqgCrw)
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[Standard Level] Master Parametric Areas! From Graphing to Integration Calculations

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Symmetry of the graph of a cubic function

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Tokyo University's problem: calculations are too tricky without creativity!

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微分法⑳【方程式・不等式への応用】
![[Math III: Differential Calculus] Graph (parameter type) - Free online school "Turn Up" -](https://i.ytimg.com/vi/Q_na1dmQu3A/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLBtfjZKR3ViJFqjzdfuij6SAfCu_g)
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[Math III: Differential Calculus] Graph (parameter type) - Free online school "Turn Up" -
![Proof of the actual question “The derivative of sinx is cosx” [Osaka University].](https://i.ytimg.com/vi/jpqkGIkcAvM/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLCxaCsAbcv1XaeU_JNF6RsFxxlSfw)
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Proof of the actual question “The derivative of sinx is cosx” [Osaka University].

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【媒介変数表示】の対称性の調べ方を(解説)~「君の瞳にいもけんぴさん」の質問への解答~
![[ENG] PRANK That’s NOT a student…A World-Class Violinist Secretly Entered a Real Korean Competition](https://i.ytimg.com/vi_lc/gKUPExHYR_I/hqdefault_en.jpg?sqp=CJShpdEG-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAGi85f_AzISMGh0dHBzOi8vaS55dGltZy5jb20vdmkvZ0tVUEV4SFlSX0kvaHFkZWZhdWx0LmpwZw==&rs=AOn4CLDxbU7zznLz8WnWOzhqc4Uc3GYv8g)
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[ENG] PRANK That’s NOT a student…A World-Class Violinist Secretly Entered a Real Korean Competition

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【限定公開】数Ⅲ 微分法 グラフの概形

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Who is Smarter? Engineer vs Chinese 5th Grader

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