写真の解説が欲しいです。よろしくお願いします。 1回微分までで大丈夫そうなのですが、他がわからないです

3. 関数 f(x)=xlogx, (x>0) について, 増減表とグラフを示せ.(5点) ただし, lim xlogx = 0 である. x→+0

この問題の問1においてX、Ｙ両方に0を代入して微分したらa=a+a=2aになって a=0となると思うんですがなぜそうされてないのですか？

演習/例題154 関数方程式の条件から導関数を求める 関数 f(x) は微分可能で,f'(0)=a とする。 (1) 任意の実数x,yに対して, 等式f(x+y)=f(x)+f(y) が成り立つとき f(0),f'(x) を求めよ。 (2) 任意の実数x,yに対して、 等式f(x+y)=f(x)f(y), f(x) > 0 が成り立つと f(0) を求めよ。 また, f'(x) を a, f(x) で表せ。 演習 152 指針 このようなタイプの問題では, 等式に適当な数値や文字式を代入する ことがカギとなる。 f(0) を求めるには,x=0 やy=0 の代入を考えてみる。 また,f'(x) は 定義 f'(x)=limf(x+h)-f(x) h 入して得られる式を利用して, f(x+h) f(x) の部分を変形していく。 JJBR$15 ask f'(x)=lim 解答 (1) f(x+y)=f(x)+f(y) ① とする。 ① に x=0を代入すると f(y)=f(0)+f(y) ア よって f(0)=0 また, ① に y=h を代入すると f(x+h)=f(x)+f(h) ゆえに f(x+h)-f(x) h h→0 ...... h→0 ...... f(h) h =f'(0)=a =lim h→0 ƒ(0+h)-f(0) =lim TAMS HOh-oh E h HAPO f(x+₁)=f(x) f(v₂) ③とする (*) に従って求める。 等式に y=hを代 x=x=0を代入してもよい。 ア の両辺からf(y) を引く。 <f(x+h)=f(x)+f(h) から f(x+h)-f(x)=f(h) ƒ(+h)-f( h lim h→0 26 | (*) f(0)=0 -=f'(■)

lim x→-1 arctanxを教えてください

英作文の添削を下の条件を満たしているかも含めてしてほしいです。 条件・あなたが尊敬する人物(80語程度) 　　・Who is the person? ・What does the person do?(職業) 　　・Why do you admire/loo... Read More

I admire a professional dimber Futaba Ito. She is the youngest ever winner of the Bouldering Japan Cup at the age of 14. I currently climb once a week, but when she was in high school she climbed about 5 times a week and did it for 3 years, which I thought was amazing. Seeing her, I wanted to be someone like her who could balance academics and sports and continue to do whatever I wanted to do.

limの2つ目はどう考えれば良いですか？

sy noo art sinon 702 Ocon < III) On → to (n+∞) 41=2 live To Livre (1+h) * 従って TV non Singu Ou Live (non ) = 1 TE より①についてはさみうちの原理より!ベニ - TO

エッセンス力学64ページExの問題です。。3枚目にの写真を見て回答していただけると嬉しいです。

EX 滑らかな水平面上に質量Mの球Q がばね定 PEMASANA ANG htt HER 数んのばねを付けられた状態で置かれている。 左から質量mの球Pが速度vで進んできた。 (1) ばねが最も縮んだときのPの速度を求めよ。 (2) ばねの縮みの最大値を求めよ。 (3) やがてPはばねから離れた。 Pの速度を求めよ。 LIME m まおう。 P Vo 10 k room M

英作文の添削を下の条件を満たしているかも含めてしてほしいです。 条件・あなたが尊敬する人物(80語程度) 　　・Who is the person? ・What does the person do?(職業) 　　・Why do you admire/look... Read More

245の二つ両方の解き方を教えてほしいです。できれば途中式もつけてお願いします。

245*(1) lim X→1 x+2 (x-1)²x G. (2) lim 1- X-2 2) ² } (x-2)²

答えを教えて下さい

3 次の各文の( 1. Ice ( A. makes. 2. Jack was ( A. both の中に入れるのに最も適切な表現を1つずつ選び、記号で答えなさい。 ) into water when it melts. B. becomes ) as slim nor as healthy as I was. B. either C. neither 4. He is currently ( A. considering to be C. considered to be 3. I couldn't get reservations at Mario's tonight. It was completely ( A. booked B. noted C. filled 6. There haven't been any phone calls, ( A. have they B. been they 7. I met her in 2012, ( A. who C. turns ) the best British athlete. 5. It was very kind ( ) you to come to our wedding. A. for B. with C. to B. anything else C. whatever D. other anything 8. Ellie: How did you like the play, Mike? Mike: I wish the actors ( A. spoke B. regarding as D. regarded to be as ) she was still a student. B. when C, which )? C. have there 9. Tom: What are your hobbies? Kathy: I'm more interested in sport than ( A. what else A. Good guess B. Of course not C. Yes, I think you will D. You're right on target 232 10. Bob: Would you mind if I asked you a favor? Susan: ( ). What can I do for you? D. gets D. each ). ) a little louder. I could hardly hear them. B. would speak C. have spoken D. had spoken ) up. D. finished D. of D. been there D. where OMI(873-1)

これらの問題の解答（出来れば解説も）を教えてほしいです。

3 次の各文の( 1. Ice ( A. makes 2. Jack was ( A. both の中に入れるのに最も適切な表現を1つずつ選び、記号で答えなさい。 ) into water when it melts. B. becomes ) as slim nor as healthy as I was. B. either C. neither 4. He is currently ( A. considering to be C. considered to be 5. It was very kind ( A. for 3. I couldn't get reservations at Mario's tonight. It was completely ( A. booked B. noted C. filled 7. I met her in 2012, ( A. who B. anything else C. whatever D. other anything C. turns ) the best British athlete. 6. There haven't been any phone calls, ( A. have they B. been they B. with > you to come to our wedding. C. to 8. Ellie: How did you like the play, Mike? Mike: I wish the actors ( A. spoke B. would speak B. regarding as D. regarded to be as )? C. have there ) she was still a student. B. when C, which 9. Tom: What are your hobbies? Kathy: I'm more interested in sport than ( A. what else 23- D. gets 10. Bob: Would you mind if I asked you a favor? Susan: ( ). What can I do for you? A. Good guess B. Of course not C. Yes, I think you will D. You're right on target D. each ). ) up. D. finished ) a little louder. I could hardly hear them. C. have spoken D. had spoken D. of D. been there D. where OMI(873-1)