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Chapter 52: So Terrifying, This Son Is Inhuman!
The invigilator was speechless.

I couldn't be more shocked.

What is Xiuer?
This is Xiuer.

I have been teaching for nearly 20 years.

What kind of mathematical genius he has never seen.

But compared with Jiangnan, those so-called geniuses are all scum, not at the same level at all.

this point……

Less than 10 minutes after the start of the test, Jiangnan went straight to the last question of the paper, which can be seen.

and……

According to Cao Tianyuan said.

The correct rate of Jiangnan's problem solving is still 100%.

even……

The draft paper specially issued for the math test is clean, with not a single word written on it.

You must know that some students next to them have used up a piece of draft paper even though they haven't finished the multiple-choice questions.

hiss……

What kind of logical thinking and spatial thinking does a person need to have in order to reach Jiangnan?
At the same time.

Jiangnan as the party involved.

But regardless of the shock of the two invigilators behind him, he just wrote "shua, shua, shua".

to him.

These questions are not very challenging.

I just want to finish it quickly, sleep is king.

but……

When you do the last question on the paper.

His eyes narrowed slightly.

"Ah!"

"Finally, I came across an interesting question. It seems that this paper is not useless."

Prior to this, Jiangnan's review of the questions was done in a second, and then he could get the answer in his mind in an instant.

however……

This is the final finale question.

He watched it for a few seconds.

visible……

The difficulty of this question.

I don't know how much more than the previous ones.

The original title is as follows...

“已知函数f(x)=1/√（1+x）+1/√（1+a）+√（ax/（ax+8）），x属于(0，+∞）。

(1) When a=8, find the monotone interval of f(x).

(2) For any positive number a, prove that f(x) is greater than 1 but less than 2. "

Similar to the first question in the solution question.

This last question is actually a function question.

but……

the difference is.

This involves monotonic, inequalities.

It does feel a little more difficult than the previous questions.

but……

For Jiangnan.

It's only slightly interesting.

The word "difficult".

It couldn't have been in his head.

untie……

When a=8.

f(x)=(1+√x)/√(1+x)+1/3.

Derivation f`(x)=(1-√x)/2√(x(1+x)^3.

So when x belongs to (0, 1].

f`(x) is greater than or equal to 0.

When x belongs to [1, +∞).

f`(x) is less than or equal to 0.

So f(x) increases monotonically on (0, 1] and decreases monotonically on [1, +∞).

……

What is a pen and a dragon?

This is a pen and a snake.

When Jiangnan wrote down the word "Xie", he didn't stop and went straight to the first question.

Gee!

One word, absolutely.

A certain invigilator behind him couldn't see it anymore, because he didn't teach mathematics, and Jiang Nan's problem-solving speed was too fast, he couldn't understand it at all.

but……

It's also because I don't understand.

Instead, calm down a lot.

in contrast.

When Cao Tianyuan saw that Jiangnan had answered the first question of the last question in an instant, his pupils shrank sharply again, his expression was moved, and his heart was overwhelmed.

Nima!

Awesome, strong!

Jiangnan is really going against the sky.

The invigilator next to him knew that the final math question was difficult, but he didn't know how difficult it was.

however……

Cao Tianyuan knew about it.

after all……

He is an experienced math teacher.

Although this question does not seem complicated at first glance, it is only at first glance.

Actually...

It is really very difficult.

Even if he came to do this problem, he really couldn't solve it without spending [-]% or [-]% of his effort.

It is not an exaggeration to say that this is the most difficult final question of the monthly exam that he has ever encountered. It can surpass the final question of the college entrance examination by several times, and even compete with the final question of the Olympiad.

but……

Jiang Nan got it done without any effort?
Simply incredible.

Not human!

Really not human.

He no longer dared to regard Jiangnan as a student.

Where is this still a student?
He is obviously a senior professor of mathematics, okay!

The kind that he himself is far inferior to.

Can……

It's not over yet.

Just when Cao Tianyuan was sighing, Jiang Nan had already started to do the second question, and the speed was still very fast.

(1) The proband f(x) is greater than 1.

Because 1/√(1+x)>1/(1+x).

……

and so……

f(x)=(1+(a+b+x)+(ab+ax+bx)+abx)/(1+x)(1+a)(1+b).

(2) Prove again that f(x) is less than 2...

……

That is, ab+8 is greater than (1+a)(1+b).

That is, a+b is less than 7.

……

To sum up, for any positive number a, x, f(x) is greater than 1 but less than 2.

Jiangnan answered.

It was still done in one go, like flowing clouds and flowing water, and the second question was solved lightly.

That is to say...

Has Jiangnan finished the exam?
See here.

A certain invigilator at the back subconsciously looked at the clock on the blackboard, and found that it was only... 9 minutes before the start of the exam?

What the hell!

Only took the test for 9 minutes?
Not even 10 minute.

Jiangnan just finished the whole paper?

Horror!
This son is inhuman!
If he didn't see it with his own eyes, even if he was beaten to death and burned to ashes, he wouldn't believe it.

(End of this chapter)