Y = (coslnx) ^ 2, find the second derivative of y when x = E

Y = (coslnx) ^ 2, find the second derivative of y when x = E

y=(coslnx)^2
y'=2cos(lnx)*[-sin(lnx)]*1/x
=-2/x*sin(lnx)cos(lnx)
=-sin(2lnx)/x
y"=-{[sin(2lnx)]'*x-[sin(2lnx)]*x'}/x^2
=-[x*cos(2lnx)*2/x-sin(2lnx]/x^2
=-[2cos(2lnx)-sin(2lnx]/x^2
So x = e, Y "= - (2cos2-sin2) / e ^ 2

Y = 1 + X, find the N derivative of Y
The example in the book is that f (x) = in (1 / 1 + x), to find the n-order derivative of F (0), I simplified the problem.

y′=1;
y″=0;
..
The reciprocal of order n of y = 0;
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How to find the n-order derivative of y = x ^ n / x + 1
For higher derivatives,

Y = x ^ n * (x + 1) ^ (- 1), then you should be able to find out the n-order derivative of x ^ n, and the n-order derivative of (x + 1) ^ (- 1) is also easy to find out. Then you can find out the n-order derivative of y by using Leibniz formula of n-order derivative of product

Change the following sentences to plural
Original sentence
1.where is your pen pal from?
He's from Australia.
2.Where is John's pen pal from?
He's from japan.
3.Where does he live?
He lives in Paris.
Changed to plural

1.where are your pen pals from?
They're from Australia.
2.Where are John's pen pals from?
They're from Japan.
3.Where do they live?
They live in Paris.

In English general negative sentences, is the form of be verb singular or plural?

The singular and plural of be verb should be consistent with the subject. If the subject is plural, use are, were, and if the subject is singular, use is, was

Synonym conversion
1.give=offer 2.suitable=fit/right
3.afterwards=later/then 4 .mind=care about
5.recommend=to say sth good 6.got to=reach/arrive
7.plenty=enough/a lot of 8.care=look after
9.as a matter of fact=in fact=in reality 10remind=help sb remember
11.manage=succee in dong 12.manage= be able to deal with 13.prefer… to=like..better than 14.suggest=advise
15.(what) kind of=what sort of 16.lie in=be located
17.appreaiate=thank for 18.nearly=not far away
19.path=narrow road 20.a variety of=a different kind of
21.glad=feel happy about it 22.nerous=afriad and worry
23.keep still=stay quiet 24.pull off=take … away
25.come true=come real 26.raise=put up
27.perfeatly=without mistakes 28.shocked at=very surprised
29.force=make sb to do 30.think of=come up with
31.disappear=out of sight 32.cry with joy=cry happily
33.touch=put the hand on 34.let… down=make… disappoint
35.distant=far away 36.learn by heart=remember
37.shortly=soon/at once 38.had a curiosity=feel curioy
39. regard as=be consider to be /look on … as /think of
40. Will to do = would like to do )
41. Make full use of of = take advantage of 42. Wealth = rich
43.on the contrary=instead 44.survive=still live
45.glance=take a quick look 46.raise one’s voice=speak loudly
47.illegal=not allow 48.dislight=happy
49.at all costs=to do anyth possible 50.take action=doing sth
51.confidently=in confident 51.not all = some
53.afraid=frightened 54.view=opinion
55.shelters=speases to live 56.long=in lenght
57.visit=calling on 58.disagree=do noy agree
59.what’s up?=what’s wrong? 60.fly to… =by plance
What do these phrases mean?

1. Offer 2. Suitable 3. Later 4. Care 5. Suggest 6. Arrive 7. Enough 8. Take care of 9. In fact 10. Remind 11. Succeed in doing something 12. Do something 13. Prefer 14. Suggest 15. What kind of 16. It's 17. Thank you very much
18. Near 19. Path 20. Various 21. Happy
Nervous: nervous 23. Keep quiet 24. Take away 25. Realize 26. Put forward 27. Perfect 28. Be shocked 29. Force 30. Think of 31. Disappear 32. Cry with joy
33. Touch 34. Disappoint 35. Far 36. Remember by heart
37. Soon 38. Curious 39. Regard as 42. Rich
43. On the contrary 44. Survive 45. Glance 46. Speak out 47. Illegally 48. Happy 49. Do something at all costs
50. Take measures, take actions 51. Confidently 52. Some 53. Afraid 54. Viewpoint 55. Habitat 56. Length 57. Visit
58. Disagree 59. What's the matter? What happened?
60. By plane

Change synonyms
Change the words with brackets in the following sentences into synonyms on the premise of keeping the original meaning unchanged
In summer, cicadas are crowing on the branches, fish are jumping on the water, rabbits are running, monkeys are picking peaches, squirrels are running in the forest, deer are running, bears are noisy, dogs are barking, horses are barking, tigers are barking, birds are flying, branches are shaking and flowers are blushing

In summer, cicadas are crowing on the branches, fish are swimming in the water, rabbits are running, monkeys are picking peaches, squirrels are jumping on the trees, deer are running, bears are making noise, dogs are barking, horses are neighing, tigers are howling, birds are scared to fly, branches are shaking and flowers are blushing

Synonyms of English Conjunctions
for example
Can be converted into so that
What else is the conversion of conjunctions?
I want something like this
What... What... What
for example
too...to...
The conversion of such conjunctions

so ...that=such...that
so as to=in order to

Junior English synonyms help
one
Would you like to sing some songs with me?
two
How about flying a kite with me?
Write 3 kinds each

1.How about singing some songs with me What about singing some songs with me How do you think of singing some songs with me 2.Would you like to fly a kite with ma What about flying a kite with me How ...

Change the following sentences into synonyms:
1.It's time for bed now.
2.The changjiang Rive is longer than the Yellow Rive.
3.The sun is bigger than the earth .
4.The earth is bigger than the moon.
5.Today is colder than yesterday.
If it's very good, add 5-10 points

It's time to fall asleep nowThe Yellow river is shouter than Changjiang RiverThe earth is smaller than the sunThe moon is smaller than the earthYesterday is warmer than today