Find the derivative of 1 / √ X & #

Find the derivative of 1 / √ X & #


f'(x)=-1/2x^(-3/2)



The derivative of X & # / X-1?


The derivative of X & # 178; / (x-1) is:
[x²/(x-1)]'=[(x²)'×(x-1)-x²×(x-1)']/(x-1)²
=[2x×(x-1)-x²×1]/(x-1)²
=(2x²-2x-x²)/(x-1)²
=(x²-2x)/(x-1)²



Find the derivative of (1) y = sin43xcos34x (2) y = 2 (ex / 2 + E-X / 2) (3) y = a2x + 1


(1)y'=43cos43x*cos34x-34sin43xsin34x;
(2)y'=2[(x/2)*e^(x/2)-x/2)*e^(-x/2)];
(3)y'=2x*a^2xlna



The following three short sentences can be combined into a complex sentence (the sentence order is reasonable, the meaning is coherent, the words can be deleted and replaced without changing the original meaning)
1. Most people think that visible income is a kind of wealth
2. People seldom think that all the hardships in life will become valuable wealth
3. In value judgment, things in the spiritual field are easily lost by the material wealth


Because most people think that visible income is a kind of wealth, so in the value judgment, things in the spiritual field are easy to be buried by the appearance of material wealth. At the same time, they seldom think that all the hardships and even tribulations experienced in life will become valuable wealth



The following three short sentences can be combined into a complex sentence with appropriate connective words
1. Be content with mediocrity, you may live a miserable life of lack of ideal and mediocrity
2. Failure can often become a stepping stone for us to learn lessons and move towards success
3. If you want to succeed, you must have courage to face failure and abandon mediocrity


To be content with mediocrity may lead a miserable life without ideal and mediocrity. Failure can often become a stepping stone for us to learn lessons and move towards success. Therefore, to succeed, we must have the courage to face failure and abandon the mediocre attitude of muddling along



Combine the following three short sentences into a complex sentence with appropriate connective words (the sentence order is reasonable, the meaning is coherent, the words can be deleted and replaced, but the original sentence can not be changed)
① It's not easy for us to have real self-confidence
② We all know that self-confidence is a necessary mental state for success
③ We know that self-confidence is more difficult than bigotry or self abasement


We all know that self-confidence is a necessary mental state for success,
But it's not easy to have real confidence,
Because self - confidence is more difficult than bigotry or self - abasement



The following three short sentences can be combined into a complex sentence with appropriate connective words
① Behind any success, there are many unknown pains and hardships
② We have to go through the pain and hardship to reach the charming peak of life
③ This pain and hardship, let us look forward to this glory


Behind any success, there are many little-known pains and hardships. We have to go through the pains and hardships in order to get to the top of the charming scenery on the journey of life. And the pains and hardships make us admire and yearn for the glory



Change the following sentences into compound sentences with object clauses
1、Mary works in beijing .I know.
2、They will visit the Great wall next Friday .mary is sure
3、He can finish the work in a week I believe
4、me people are lying on the beach .kate says
5、IT IS important to take enough exercise every day.Doctors say
6、his brother bought a car yesterday .I don\t know
7、your dream will come true .I hope
8,Mary\s cousin has a sweet tooth .I heard


1. I know that Mary works in Beijing. 2. Mary is sure that they will visit the Great Wall next Friday. 3. I believe that he can finish the work in a week



English: turn the following sentences into compound sentences with object clauses
the tickets are in my pocket.The man says .
The man says------------------------------------------.


The man says( that ) the tickets are in his pocket.
That can be saved



Combine the following sentences into compound sentences with object clauses
1,He wants to know.Is it polite smoke during a meal in France?
2,Can you tell her.Are there two or more courses for every meal in North America?
3,She asks.Do i need to add more sait?
4,He is not sure.Is it polite or not to speak loudly at the table in China?
5,Do you know.Is it impolite or not to put the fork on the left side of the plate?


1,He wants to know whether it is polite to smoke during a meal in France.2,Can you tell her whether there are two or more courses for every meal in North America.3,She asks whether she needs to add mo...