A genius? I just love studying.

Chapter 6 Imminent
Spring sleepiness, autumn lack, summer doze, winter and March when I can't sleep.

After eating and drinking, the students living on campus returned to the dormitory and began their lunch break.

Some of the day students chose to go home, but more of them returned to the classroom, either playing with their mobile phones or taking a nap on their desks.

After eating and drinking, and having been blown by the cold wind all the way, Chen Hui suddenly returned to the warm classroom. Even he couldn't help feeling a little sleepy.

Sitting down in his seat, rubbing his temples to wake himself up, Chen Hui opened his exercise book. The noises of his classmates playing in the classroom began to become distant, and the world began to quiet down.

After finishing two more problems on space vectors, Chen Hui turned directly to the next chapter.

In the morning, he spent nearly an hour on one question, but now, he finished two in half an hour. He had already mastered this type of question, so there was naturally no need to waste time anymore.

The next chapter is about derivatives.

Chen Hui did not rush to do the questions, but opened the textbook and began to learn the basic knowledge points.

1. The concept and meaning of derivative
2. Derivatives of Common Functions...

Soon, Chen Hui was immersed in the world of derivatives.

Li Hai was no longer surprised by this. He could not compare with the king of papers like Chen Hui. He had to take a nap at noon. If he didn't take a nap at noon, he would collapse in the afternoon.

Of course, it’s normal to play with your phone for a while before going to bed.

"No way, Lao Liang, what are you crazy about today?"

However, as soon as he took out his mobile phone, Li Hai saw Liang Peixuan in the front row also writing and drawing on the draft paper.

Liang Peixuan ignored Li Hai. He had already converted all the information given in the question into inequalities, but he didn't figure out how to convert it into the constraints of x0 and y0.

Nothing can be done.

"Yeah, another one is crazy."

Li Hai didn't care. He rolled his eyes, played with his phone for a while, and then fell asleep on the table.

Jingle Bell!
The snoring stopped abruptly. Li Hai opened his sleepy eyes and found that the English teacher had walked up to the podium in high heels.

Chen Hui next to him and Liang Peixuan in front were still immersed in their own worlds.

There are already a lot of handwriting and drawings on Chen Hui's exercise book, which shows that his learning progress is quite good.

Li Hai discovered that after not seeing Chen Hui for a winter vacation, he seemed really different.

In the past, Chen Hui could only solve one or two questions in an afternoon, and sometimes he couldn’t even solve any questions at all.

But today, he watched Chen Hui go from just learning derivatives to doing a whole page of exercises!

On the other hand, Liang Peixuan, who was standing in front of Chen Hui, seemed to be still scratching his head over the last question of the morning's in-class test. He had a thick stack of draft paper, and the handwriting on the top page was sloppily written, as messy as his hair at the moment.

It was not until then that Li Hai realized that the value of the first question Chen Hui solved in the morning seemed to be much higher than he had imagined.

"Stand up... Hello, teacher."

Li Hai stood up in response, his brain still a mess. After sitting down, the English teacher began to lecture step by step.

Li Hai didn't listen much. After all, it didn't matter whether he listened or not.

Chen Hui didn't listen either. He decided to improve his math proficiency first, and then his schedule would only consist of math classes.

There are also advantages to having poor grades. As long as Chen Hui doesn't make trouble in class, the teachers won't care what he does.

"Liang Peixuan, I've been paying attention to you for a long time. This is English class!"

Obviously, if you have good grades, you won’t get this treatment.

The English teacher stood next to the blackboard and knocked the blackboard hard with the hand holding the chalk, making a loud noise in the quiet classroom.

"I know you're good at math, but does that mean my English isn't important?"

"I can tell you responsibly that the college entrance examination will not only test mathematics!"

Liang Peixuan looked up from the question blankly, his bloodshot eyes meeting the angry gaze of his English teacher.

He didn't take a nap at noon and his brain has been working at full speed for such a long time. Now he is very tired and in a very bad state.

Has so much time passed?
Liang Peixuan took a deep breath and exhaled heavily. Finally, he let go of his obsession and took out his English textbook.

But he still couldn't help but look back at Chen Hui.

He was so tired just because he didn't sleep at noon, but Chen Hui persisted like this for an entire semester. How did he do it?
Liang Peixuan's heart was shaken. For the first time, he felt the power of diligence so intuitively.

Looking back now, when Chen Hui entered school, his math score was only around 40 or 50 points, and he would improve a little with every exam.

But because the base number was too low, no one paid attention.

Is it now that the accumulated strength has finally paid off and the quantitative change has led to a qualitative change?

The four words "diligence can make up for lack of talent" were materialized in front of Liang Peixuan at this moment, turning into the appearance of Chen Hui and becoming the force that influenced his life.

……

[Your math level has increased from level 1 77% to level 1 78%]

Just as I finished a big derivative question, a prompt popped up in front of me.

Chen Hui was slightly delighted, as his proficiency was indeed improving at a faster rate.

His math proficiency only improved to 77% this morning, and his English class hasn't even ended yet. All in all, he has only spent no more than four hours studying math seriously, and his proficiency has only improved by 1%.

Fast, too fast!
If he was just a rickshaw, struggling to wade through the swamp of mathematics, Chen Hui was sure that now he was at least an ox cart!
Not only did he feel lighter, he was also faster.

At this rate, it will only take a week to reach 100% in Level 1 Mathematics.

Of course, Chen Hui also understood that the higher the level, the slower the improvement in proficiency would be, but it would probably not exceed half a month at most!
If I get another free attribute point by then...

Chen Hui's heart was pounding.

Calm your mind and focus back on the exercise book.

Given a function f(x)=ax+blnx+1, the tangent of this function at (1, f(1)) is the x-axis.

(1) Find the monotonic interval and maximum value of f(x).

（2）当x＞0时，证明 1/（x+1）＜ln(x+1)/x＜1/x。

（3）已知n∈N*，n≥2，求证，1/2+1/3+……+1/n＜lnn＜1+1/2+……+1/（n-1）。

The first question is obviously an easy one. Although it only gives one condition, it contains two pieces of information.

f(1)=0 and f'(1)=0.

Two unknowns, two equations, and easily get the expression for f(x).

The second question involves inequalities, and appears in the chapter on derivatives, so scaling is obviously required.

The idea is very clear,
But Chen Huiting wrote with a frown on his face.

Scaling is not difficult. There are only a few inequalities. You just need to remember them and be able to construct them flexibly.

He had clearly just read several inequalities involved in scaling, and while reading them he had also deduced them again following the proof process. Logically, this should have helped him remember them more firmly.

But when he really needed to use it, his mind still felt blank.

Helplessly, I opened the textbook again.

After finding several scaled inequalities, the subsequent construction was not difficult for Chen Hui, who now has great insight.

Easily write out the proof, close the textbook, and move on to the next question.

Chen Hui was not discouraged. He had experienced such difficulties countless times. In the past, when he wanted to solve a problem, he not only had to look up the book, but also had to rack his brains and even look up the answers. It took a lot of effort to write down the correct answer.

It’s much easier now with the help of above-average insight.

However, improving memory is imminent!

PS: Update time, the public period is usually between 8:00 and 9:00 in the morning and 9:00 in the evening

By the way, please read, recommend, comment, and all kinds of requests. I bow 90 degrees.
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(End of this chapter)