₦airaland Forum

Luukasz:
So even i score 200 in jamb & I manage 2 score 90 in putme even if i choose medicine,it means my admission is certain into the department

thankyouJesus:
you be boss o.
24th March, 2015.
15:45:39

thankyouJesus:
[b]Good morning to you all, how was the night?
Yesterday, we were considering differentiation, we were able to conclude that:
1. Differentiation means rate of change.
2. If y = axⁿ, then dy/dx = nax^n-1.
3. The differentiation of a constant is zero.
Today, we will be considering another aspect of differentiation.
DIFFERENTIATION OF POLYNOMIALS.
To differentiate a polynomial, we differentiate each term in turn.
General form:
if y = ax^b + cx^d + ex^f + . . .,
then dy/dx = bax^b-1 + dcx^d-1 + fex^f-1 + . . ..
. . . . . . . . . . . . . . . . . . . . . . . .
Example 1: if y = x⁴ + 5x³ - 4x² + 7x - 2.
Solution:
dy/dx = (4)(1)x^4-1 + (5)(3)x^3-1 - (4)(2)x^2-1 + (7)(1)x^1-1 - 0.
dy/dx = 4x³ + 15x² - 8x + 7.
. . . . . . . . . . . . . . . . . . . . . . . .
Example 2: if y = 2x⁵ + 4x⁴ - x³ + 3x² - 5x + 7, find an expression for dy/dx and the value of dx/dx at x = 2.
Solution:
So, first of all,
dy/dx =
.
.
.
.
.
.
.
Very good, because, if
y = 2x⁵ + 4x⁴ - x³ + 3x² - 5x + 7.
Then,
y' = 10x⁴ + 16x³ - 3x² + 6x - 5.
Substituting x = 2, we have,
y' = 10(2)⁴ + 16(2)³ - 3(2)² + 6(2) - 5.
Therefore,
y' = 283.
. . . . . . . . . . . . . . . . . . . . . . . .
Example 3:
if y = 2x² - 5x + 3, then
dy/dx = 4x - 5.
This double statement can be written as a single statement by putting 2x² - 5x + 3 in place of y in dy/dx. i.e
d/dx (2x² - 5x + 3) = 4x - 5.
. . . . . . . . . . . . . . . . . . . . . . . .
Example 4:
In the same way,
d/dx (4x³ - 7x² + 2x + 3) =
Solution:
12x² - 14x + 2.
Note: Either of the two methods is acceptable: it is just a case of which is the more convenient in any situation.
. . . . . . . . . . . . . . . . . . . . . . . .
Summary:
1. To differentiate a polynomial, we differentiate each term in turn.
2. if y = ax^b + cx^d + ex^f + . . .,
then dy/dx = bax^b-1 + dcx^d-1 + fex^f-1 + . . ..
. . . . . . . . . . . . . . . . . . . . . . . .
Assignment:
1. No 39, 1994.
If y = 3t³ + 2t² - 7t + 3, find dy/dt at t = -1.
(a) -1 (b) 1 (c) -2 (d) 2.
2. No 19, 2002.
If y = x² - 1/x, find dy/dx
(a) 2x + 1/x² (b) 2x + x² (c) 2x - 1/x² (d) 2x - x²
3. No 36, 2008.
Find the derivative of y = x⁷ - x⁵
(a) x (x^{2 - 1) (b) 3x (x[sup]2} - 1) (c) 3x² - 1 (d) 7x⁶ - 5x⁴.
. . . . . . . . . . . . . . . . . . . . . . . .
Things to note before the next class:
1. There is difference between
(a) sinx - cosx
(b) sinx + cosx
(c) sinx cosx,
the difference is, (a) &(b) are polynomials because they are connected by either + or - while (c) is connected by multiplication. Another method is used to solve c.
2. If y = sinx, dy/dx = cosx.
3. If y = cosx, dy/dx = -sinx.
Have a splendid day.

Any question?

24th March, 2015.
07:07:33[/b]

thankyouJesus:
[b]Good evening all, as per my obligation, today will be "our" first class. "We" will be considering differentiation.
Note 1:
1. dy/dx can also be represented as y'.
2. d²y/dx² can also be represented as y", till infinity.
3. d/dx means "we" are differentiating with respect to x, d/du means we are differentiating with respect to . . . . . . . . . . . .very good, u.
4. wrt means with respect to.
DIFFERENTIATION.
Differentiation means rate of change.
General formula:
if y = axⁿ,
a is the co-efficient of x.
n is the power of x.
Therefore, dy/dx = power "times" co-effecient of x "times" the power of x "minus" 1.
Mathematically,
y = axⁿ,
dy/dx = nax^{n - 1}.
-----------------------------
Example 1. Find y' [it also means dy/dx] if y = 2x.
Solution:
the co-efficient of x is 2.
The power of x is 1.
Therefore,
y = 2x
dy/dx = (1)(2)x^1-1
dy/dx = 2x⁰
dy/dx = 2(1)
because x⁰ is 1.
dy/dx = 2.
-----------------------------.
Example 2: find y' if y = 3x⁴.
Solution:
y = 3x⁴
y = 12x³
-----------------------------.
Example 3: find y' if y = x
.
.
.
.
.
.
.
y' = 1.
Very good, because,
y = x
the co-efficient of x is 1.
The power of x is 1.
Therefore,
y = x
y' = (1)(1)x^1-1
y' = 1x⁰
y' = 1(1)
y' = 1.
-----------------------------.
Example 4: find y' if y = 2.
Solution:
y = 2,
the question can also be changed into
y = 2(1)
it can be further changed into
y = 2(x⁰)
since,
y = 2x⁰
y' = (0)(2)x^0-1
y' = 0x^-1
y' = 0.
Note 2: The derivative of a constant is 0.
i.e
d/dx (7) = 0
d/dx (10) = 0, but,
d/dx (7x) = 7
d/dx (10x) = 10.
-----------------------------.
Summary:
1. Differentiation means rate of change.
2. If y = axⁿ, then dy/dx = nax^n-1.
3. The differentiation of constant values is 0. E.g,
y = 6,
dy/dx = 0,
y = 1000000000
dy/dx = 0.
-----------------------------.
Assignment: find dy/dx if y =
1. 20x
2. -50x³
3. -25x^-2
4. 30/x², [Hint: 1/x² is x^-2.

Any question?

Good night class.
23rd March, 2015.
21:35:45[/b]

P0lyMath:
dunsin89 baba ........ Chai it's harsh na.

The guy is trying to relate with what he read from pr0ton's reply, so he's not dyslexic!

Had it been that pr0ton typed ' 25 questions from each of the four subjects' he would ve fathomed the meaning but Oga Pr0ton omitted 'each'.


on what we were discussing about phone no. Do quote me asap cos I'll be removing the number soon.
08034030414....... u can add me on whatsapp for easy hook up.



FIGHTING

Pr0ton:
Mightyguy and co. Una dey get like that

estijaz:
just normal reading ooo n maybe a minute quantity of weed*lol*
I didn't say anytin ooooi cos I don't wanna wake tomorrow only to find dis on d front page of Vanguard:'AJARI ESTHER LEADS UI ASPIRANTS INTO D CLUCTCHES OF HARD DRUGS N DEY AV ALL GONE GAGA;UI NOT TO ADMIT DIS YR'

Bmark:
you are what yoruba call akerefinushogbon,arinurode, olumoran okan.UI post utme no be by posting "fighting" on NL or placing so much emphasis on gossips and trivial issues.

I pray some people wont repeat the mistake of last year or other newbies follow suite in this game that leads to no where.

@Esther, tell them how this thing is done,no be by fighting or sipping coffee online.

@all..Forget JAMB.Let this thread begin to flow with exchange of ideas on strategies for the postutme..textbooks,past experience etc. Shalom.

estijaz:
lolxxxxx,wait,did u just googlesearch my name?
Anyway datx not my complete profile,u should dig deeper*winks*
well,truf b told,I got dose awards not because I am intelligent but because am graced

estijaz:
lolzzz,,,don't underestimate ursef man,itx in u,trust me

Pr0ton:
I meant 25 questions from each of the four subjects.

Bio - 25

Chem - 25

Phy - 25

Eng - 25.

Pr0ton:
I meant 25 questions from each of the four subjects.

Bio - 25

Chem - 25

Phy - 25

Eng - 25.

Pr0ton:
Not oral. It's a PPT. 100 questions. 25 questions from the four subjects you registered in Jamb.

vanilson:
At least I know GMB will not do these

1. The Chibok Girls
2. NNPC AS GOVT ATM
3. Police pension fund
4. Missing $20Billion
5. $9million Arms deal Embarrassment in SA
6. EKITIGATE Election fraud
7. Immigration job SCAM (He is just meeting the victims and dolling out money )
8 .DEPLETING External Reserves.
9. Devaluation of Naira to N250 to a $
10. Oil theft Increase
11. REWARDING THIEVES with NATIONAL honours and appointments
12. CRIPPLING OF THE EFCC
13. REFUSAL TO FIX NIGERIAN REFINERIES
14. Skyrocketed ELECTRICITY Bills
15. POLARIZATION OF NIGERIA LABOUR CONGRESS
16. STEALING IS NOT CORRUPTION
17. National Assembly INVASION by Police
19. Stella Oduah Aviation Scam (THE BULLET PROOF CARS...)
20. Kerosene subsidy
21. Last minute fighting of Insurgency
22. Sentencing soldiers to death for asking for weapons to fight
23. Directly supporting and paying 10million USD as salary to terorist Asari and Terrorist Tompolo amongst others
24. Palling around with boko haram chieftains in Niger and Dafty's inability to capture, extract information and bring to justice a singe
captured boko haram fighter up till today
25. Mrs Dafty's personal terrorist bombing campaigns in Rivers state (Stoning the opposition)
26. Dafty's work for the benefits of enemies of Nigeria - Handpicking Abacha's son as PDP candidate for Kano, stoppng FaniKayode,treasury
looting case and appointing him in his campaign, supporter of Anenih,IBB, and other treasury looters who should be in jail
27. Conversion of MOPOL to Meiguard of the rich while the poor wallow in abject insecurity; and using regular police, eg. Mbu, as political thugs!
28. Postponing elections by refusing to provide security when in fact,elections will last for only one day, and the entire armed forces and
police in Nigeria could have been deployed to secure just that 10hrs of the election day.
29. Sending troops to look for Sambisa forest in Tinubu's Ikoyi house
30. Giving AIT 10billion to air false and negative videos on APC.
31. REJECTION OF THE CARD READER.
32. CONFIRMATION OF [ Obanikoro ]THE ELECTION RIGGER as a MINISTER
33. FAILURE TO PUBLICLY DECLARE his ASSETS saying "I don't give a damn"
34. BURNING OF INEC OFFICE.
35. SPONSORING of ethnic MILITIAS TO STOP POLLS (e.g. MASSOB, OPC)
36. EMBARASSING PHONE CALL to the Moroccan KING...
37. Babysitting Boko Haram until it became the global threat it now is with ISIS
38. 9.2billion naira to buy stoves

Vcojuro:
u have been added to ui aspirant group. There are lot of people there and it promises to be lot of fun

becborn:
254 MBBS

becborn:
YOU ARE WELCOMMMMMMEEEE!! what course are you going for and is ur jamb score

DrHost:
and Oga Mightyguy it good to have you here

nikiihardehx:
presently an ijmb student.... its no scam