学年

質問の種類

数学 高校生

赤い印のところがわかりません。 logxをxで微分したらx'/xになるのはわかるのですがlogyをxで微分してもy'/yになるのはなぜですか?logyにxは入っていないので0になると思ったのですが、、、

白で書 110 例題 準 62 対数を利用する微分 関数 4 x" y= Vx +1 を微分せよ。 CHART & GUIDE (C) 累乗の積と商で表された関数の微分 両辺の対数をとって微分する 1 両辺の絶対値の自然対数をとる。 2 対数の性質を用いて,積を和, 商を差の形に,指数は前に出す。 3 両辺をxで微分する。 4 y'′ を求める。 <<<基本例題61 i 000 解答 x4 x x" log| =log| 白 x+1 x+1 3 -10g|x+1| から, 関数の両辺 <<log M=klog M の絶対値の自然対数をとると 10800x ! log|y|=1/1/1 (410g|x|-log|x+1) 3 M N log = logM-logN 書い この式の両辺をxで微分するとュ)-(1. y' 1 y 3x 1 x+1 4(x+1)-x3 1 3 x(x+1) 3x(x+1) 3x+4 ←(log|y|)'=" y よって y=x3x+4 x(3x+4) 前ページ Lecture 参照 = x+13x(x+1) 3(x+1)x+1 分母を3(x+1)* とし してもよい。 Lecture 対数微分法 対数には,logMN=logM+logN, log = logM-logN, xol M N log M=klog M の性質があるから,複雑な積, 商累乗の形の関数の微分では,両辺(の絶対値)の自然対数を ってから微分する (対数微分法という)と、計算がらくになることがある。 また、例題の関数の定義域には, x<0 を含むから, 両辺の自然対数を考えるときは絶対値を とってから自然対数をとっていることに注意しよう。 なお, αを実数とするとき (x)'=ax-1 (x>0) が成り立つ。このことは, 対数微分法を用 て,次のように証明される。 証明 y=x の両辺の自然対数をとると logy=alogx 両辺をxで微分すると y=a.- 1 y よって(x)'=y=uy=a x x x TRAINING 62 ③ ←x>0 であるからy>0 xa =axa-1 次の関数を微分せよ。 (1)y=xx (x>0) (2) (x+2)4 (3) y=3√x²(x+1)

解決済み 回答数: 1
英語 高校生

英語の長文です どこに文法表現があるか知りたいです! よろしくお願いします。

5 UNIT3 Reading Passage 10 15 20 20 25 30 Listening When important events are happening around the world, most people turn to traditional media sources, such as CNN and BBC,¹ for their news. However, during the invasion of Iraq by the United States and its allies in early 2003, a significant number of people followed the war from the point of view of an anonymous² Iraqi citizen who called himself "Salam Pax" (salam means "peace" in Arabic, and pax means "peace" in Latin). Salam Pax wrote a diary about everyday life in Baghdad during the war, and posted it on his web site. Pax's online diary was a kind of web site known as a "blog." Blogs, short for "web-logs," are online diaries usually kept by individuals, but sometimes they are written by companies and other groups of people. They are a rapidly growing type of web site on the Internet. There are estimated to be several hundred thousand blogs on the Internet, and with the popularity of other social media sites, the number of people writing online about their lives continues to grow. may find A blog differs from a traditional web site in several ways. Most importantly, it is updated much more regularly. Many blogs are updated every day, and some are updated several times a day. Also, most blogs use special software or web sites which are specifically aimed at bloggers, so you do not need to be a computer expert to create your own blog. This means that ordinary people who computers difficult to use can easily set up and start writing their own blog. In 2003, the Internet company AOL³ introduced their own blogging service, enabling its 35 million members to quickly and easily start blogging. There are many different kinds of blogs. The most popular type is an online diary of links, where the blog writer surfs the Internet and then posts links to sites or news articles that they find interesting, with a few comments about each one. Other types are personal diaries, where the writer talks about their life and feelings. Sometimes these blogs can be very personal. There is another kind of blogging, called "moblogging," short for "mobile blogging." Mobloggers use cell phones to take photo's, which are posted instantly to the Internet. When the content and images posted online involve news subjects, mobloggers become citizen journalists. In fact, the Korean web site OhMyNews was a well known source for articles from international citizen journalists. However, in 2010, OhMyNews stopped posting new articles. Instead, it is now a blog site where citizen journalists can choose what makes the headlines, or just share ideas about how regular people are changing the news world. Anyone who visits the web site of a big media company can clearly see how the idea of blogging has changed the reporting of news. Quite often, a list of reader comments follow news articles. It seems that the news is becoming less like a report or a lecture, and more like a conversation, where anyone can join in. CNN, BBC Cable News Network, British Broadcasting Corporation anonymous not named; unknown 3 AOL America Online

回答募集中 回答数: 0