sin^-1(2x+1)のグラフの書き方を教えてください！

Y=arcsin(sinx)のグラフを求めよ 微分の途中式や場合分けも詳しく教えてください。お願いします

おおまかな訳を教えてほしいです！！

For the first time ever, scientists have captured thought on video in real 員 t looks like a pink and purple grain of rice zipping around a large Dur- le 部 Really, that grain of rice is a thought moving around in the brain a zebrafish. Researchers at the National Institute ef 人Qene08 in Japan picked。 the brafish for this study because it has a see- -tbrough body By が the nes ofe zebrafish larvae, scientists can make certain parts of the fish glow ith Huofeseence. Since neurons in the brain use calcium to fire, the Saita- ia University researchers linked a protein to the fish's genes that glows the pf6Rence of calcium. When neurons fire in the fish's brain, the pro- in lights up,and we can seeit withthe helpofa 06808nt microscODe. je can make the invisible yastpeGDet most important,” said re- earcher Koichi Kawakami. ME 409 Ame tt Once yourve got a fish with a glowing brain, how do you know what it's inking about? Before recording the thought, the scientists fjgured out hich neurons in the fish's brain responded to movement. Then, they re- leased a paramecium, a tiny single-celled creature that the fsh love to eat- the paramecium moved, neurons in the fsh's brain Hit up in a pattern at matched the fish's motion. 5|So what does a fish think about? Thats easy 一 food! 9上 民【

訳して欲しいです至急ですお願いします🙏

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上の2問教えてください

ます 了 cos| 5 CS 3 sin(3aresin や cos(arctan Y2) arcsin(cos ?)

答えとその理由教えてください

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研究を発表する を英語で何て言いますか？

f(x)=tan^-1(x)をx=1で3次のテイラー展開を施せ。 この問題の過程から回答までを教えてほしいです！！ 数学得意な方、よろしくおねがいします！

英語が苦手なのですが、大学受験の勉強のために中学英語からやり直すのはありでしょうか？ またどんなことから始めればいいでしょうか？ 偏差値で言えば52くらい、GTECでは490点程度で特に文法が苦手です。 大学はMARCHレベルを目指しています。

Their problems monarch butterflies let people forget. 上の文に訂正箇所があるのですが、どこなのか分かりません。 教えてください！