Chen Zhou looked at the set of papers and a mathematical data book that he took out, and weighed it left and right, let's make a volume.

The time of a volume is relatively easy to control, it will not be like brushing a data book, there are too many topics, in case you are immersed in it, it is estimated that you will have to wake up tomorrow morning after the strength of the medicine has passed.

If that's the case, then tomorrow's class will be over!

So, Chen Zhou threw away the information book, opened the volume, and prepared to dry.

"Huh?"

A piece of scratch paper fell out of the information book, Chen Zhou took it and looked at it, and then remembered the record he left in the afternoon.

The contents of this scratch paper are the two names he wrote in the afternoon.

Lagrangian median value theorem.

Cauchy's median value theorem.

Chen Zhou was very sure that he didn't know these two people, and he didn't really want to know these two people unless it was necessary.

It's like he doesn't want to know Confucius, who loves to talk.

When Chen Zhou used to take Chinese classes, he thought about a question, why did Confucius love to talk so much?

Also, even if Confucius likes to talk, there are still people who have compiled his words into the "Analects".

It's okay to sort it out, but you still have to memorize it when you go to school...

Well, and so on, and Newton, Veda, Ohm, Coulomb, Archimedes...

Chen Zhou picked up his mobile phone, opened the input box of Baisou, entered "Lagrangian median value theorem", and clicked Baisou.

Looking at the more than 2 million pieces of relevant information, Chen Zhou couldn't help but feel numb in his scalp.

He didn't believe in the system, how could a hidden task just require an understanding of these theorems.

You know, he persevered for 50 days to get the task of the wrong problem set!

Chen Zhou clicked on Baisoi Encyclopedia, intending to take a look at this person's theorem first, and then slowly find out the intention of the system.

"The Lagrangian median theorem, also known as Lagrange's theorem, is one of the fundamental theorems in differential calculus. The French mathematician Lagrange proposed this theorem in 1797 in Chapter 6 of his work "Theory of Analytic Functions" and made a preliminary proof, so people named the theorem Lagrangian median value theorem..."

“... The theorem states that if the function f(x) satisfies: (1) is continuous over the closed interval [a,b], (2) is derivable in the open interval (a,b), then at least a little in the open interval (a,b) ε (a<ε

"What is differential calculus? Is it mathematics? But this formula seems a little familiar..."

Chen Zhou quickly read the entire encyclopedia, what is the Lagrange median value theorem, he understands it, remembers it, and even feels a little familiar.

Chen Zhou glanced at it, saw the small paper thrown aside, and immediately exclaimed: "Isn't this what function questions are often asked during the exam?"

Chen Zhou thought of the timing and conditions for triggering the hidden task at that time, all because he longed for an easier way to solve the function problem.

After figuring this out, he returned to the input box of Baisou and began to search for "Application of the Lagrangian Median Theorem in College Entrance Examination Mathematics".

Chen Zhou clicked on a search message, which was full of theorem inferences of the Lagrangian median value theorem and practical application examples for solving problems.

Chen Zhou didn't rush to read these contents, but focused on the opening paragraph.

The general content is that the current high school textbooks have added a lot of knowledge of derivatives, and there are many questions with advanced mathematics as the background in the college entrance examination questions, if the ideas of advanced mathematics are properly used in the derivative problem, the basic ideas of constructors are used, and some basic applications of the Lagrange median value theorem are understood in advance, which is of great help to solve problems about functions and inequalities.

After reading this, Chen Zhou thought: "Isn't the Lagrangian median value theorem a basic theorem in differential calculus? How can it be higher mathematics again? Also, isn't this advanced mathematics only to be studied in college?"

Chen Zhou couldn't figure it out, but he felt that his head was big for a while: "Could it be that the system is messing with me again? I haven't read a Cauchy median value theorem, is it so complicated?"

Chen Zhou sighed lightly, only blaming himself for being much more high, and doing it in one gulp, it was really not a human thing.

I can't sleep now, so let's learn!

Chen Zhou continued to read along with the article.

Under the effect of the spirit medicine, Chen Zhou was soon immersed in that wonderful state of learning again.

The Lagrangian median theorem is not such an esoteric theorem, and it does have a very clever application to the problem of functions in high school mathematics.

Unconsciously, Chen Zhou memorized several common techniques of the theorem.

After learning an article, Chen Zhou was a little unsatisfied, he felt that these were the real mathematical knowledge, and what he usually learned was something.

There are such simple and convenient theorems that can be used, so why not teach them?

Chen Zhou took the small volume, found a function problem from it, and was eager to try.

Do what you want!

Chen Zhou quickly read this question.

It is verified that when x∈[1,+∞)), ln(1+1/x)^x≥ln2.

The topic is not difficult, but according to the previous thinking, it is also indispensable.

So, after moving one side to the other, constructing the function, and finding the derivative, Chen Zhou substituted the Lagrangian median theorem for calculation.

It can be obtained directly that f(x) increases monotonically on x∈[1,+∞), so f(x)≥f(1), i.e., the above inequality holds.

"Damn... It's so much easier..."

After Chen Zhou read his problem-solving steps again, he realized that this theorem is easy to use.

Suddenly, Chen Zhou's eyes became hot as he looked at the Lagrange median theorem on his phone.

Pressing the phone quickly, Chen Zhou kept switching between the search box and the search content.

In the immersive mode, Chen Zhou drives the highest learning efficiency and absorbs the essence of Lagrange.

He's in that wonderful state again!

Before you know it, the sky is already white.

It wasn't until Chen Zhou's alarm clock rang that he was called back from the ocean of knowledge.

At this moment, the strength of the potion was almost over, and Chen Zhou's two eyes were already covered with big eye bags.

Looking at the alarm clock that kept ringing, Chen Zhou couldn't help it and yawned.

Wiping away the yawning tears that had overflowed his eyes, he reached out and turned off the alarm clock.

In fact, Chen Zhou didn't feel tired, and his face even had satisfaction and joy on his face.

The more he studied the Lagrangian median theorem, the more he was impressed by the breadth and profundity of mathematics.

It turns out that advanced mathematics is just a textbook to take care of most college students, and the Lagrange median value theorem is just a little bit of knowledge in advanced mathematics, and it is just a drop of water in the huge differential calculus.

Differential calculus, on the other hand, is only one branch of the vast mathematics of the world.

"Fur..."

Chen Zhou realized that what he was learning now was just scratching the surface.

No, even the advanced mathematics to be studied in college is scratching the surface.

went to wash his face, put away his books, and Chen Zhou went out.

In Maochang High School, it's better not to ask for leave casually.

Even now, he is sleepy.

However, just in case, Chen Zhou poured another can of spiritual medicine into the thermos cup.