formula of calculus

Posted by aD HErnANdeZ | Posted on 3:49 AM

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integrals Calculus Formula

Differential Calculus Formulas:
1) D' {x n } = nx n-1 2) D'{sin x} = cos x 3) D'{cos x} = -sin x 4) D'{tan x} = sec 2 x 5) D'{sec x} = sec x * tan x 6) D'{cot x} = - cosec 2 x 7) D'{cosec x} = -cosec x * cot x 8) D'{log a x} = 1 log a x x 9) D'{log x} = 1 x 10) D'{a x } = a x log a 11) D'{e x }..
Differential calculus formula sheet:
Derivatives of polynomial functions: `d/dx` (c) = 0 `d/dx` (x) = 1 `d/dx ` (cx) = c `d/dx` (x n ) = nx n-1 `d/dx` (cx n ) = ncx n-1 Derivatives of trigonometric functions: `d/dx` (sin x) = cos x `d/dx` (cos x) = - sin x `d/dx ` (tan x) = sec 2 x `d/dx` (cot x) = - cosec 2 x `d/dx` (sec x) = sec x tan x ..
Important Differential Calculus Formulas:
D' {x n } = nx n-1 D'{cos x} = -sin x D'{sin x} = cos x D'{tan x} = sec 2 x D'{sec x} = sec x * tan x D'{cot x} = - cosec 2 x D'{log a x} = `1/x` log a x D'{cosec x} = -cosec x * cot x D'{log x} = `1/x` D'{a x } = a x log a D'{e x } = e x D'{sin- 1 x} = `(1)/(sqrt(1-x^2)) ` ..
Differentiation calculus formulas:
1 . ` d / dx` (x n ) = n x n-1 2. `d/dx` (ln x) = `1/x` 3 . `d/dx ` (cos x) = sin x 4. ` d/dx` (e x ) = e x 5. `d/dx` (tan x) = sec 2 x 6 . `d/dx` (sin x) = cos x 7. `d/dx` (log b u) = `1/(u ln b)` `(du)/(dx)` 8. . `d/dx` `(u/v)` = `(v(du)/(dx) - u(dv)/(dx))/ v^2` 9. ` d/dx` `(u..
Calculus differentiation formulas:
Learn differentiation formulas: 1 . ` d / dx` (x n ) = n x n-1 2. `d/dx` (ln x) = `1/x` 3 . `d/dx ` (cos x) = sin x 4. ` d/dx` (e x ) = e x 5. `d/dx` (tan x) = sec 2 x 6 . `d/dx` (sin x) = cos x 7. `d/dx` (log b u) = `1/(u ln b)` `(du)/(dx)` 8. . `d/dx` `(u/v)` ..
Calculus differentiation formulas:
1 . ` d / dx` (x n ) = n x n-1 2. `d/dx` (ln x) = `1/x` 3 . `d/dx ` (cos x) = sin x 4. ` d/dx` (e x ) = e x 5. `d/dx` (tan x) = sec 2 x 6 . `d/dx` (sin x) = cos x 7. `d/dx` (log b u) = `1/(u ln b)` `(du)/(dx)` 8. . `d/dx` `(u/v)` = `(v(du)/(dx) - u(dv)/(dx))/ v^2` 9. ` d/dx` `(..
Basic formula for Differential Calculus applications:
`d/dx ` tanx = sec 2 x `d/dx` cotx = csc 2 x `d/dx ` secx = secx tanx `d/dx` cscx = cscx cotx `d/dx` e ax = ae x `d/dx ` a x = ln(a) a x , a>0 & a1 `d/dx` c=0 C - Constant `d/dx` c f(x)=c d/dx f(x) `d/dx` x n = nx n1 `d/dx` sinax = acosax `d/dx` cosax = asinax ..
Learning formulas of differential calculus from online tutorial:
`d/dx` (c) = 0 `d/dx` (x) = 1 `d/dx ` (cx) = c `d/dx` (x n ) = nx n-1 `d/dx` (cx n ) = ncx n-1 `d/dx` (u + v) = `(du)/dx` + ` (dv)/dx` `d/dx` (u - v) = `(du)/dx` - `(dv)/dx` `d/dx` (uv) = u `(dv)/dx` + v `(du)/dx` `d/dx` (u/v) = (v `(du)/dx` - u `(dv)/dx` )/v 2 `d/dx` (sin x) = cos x `d..
Formulas necessary to Solve Differential Calculus Problems:
d/dx c=0 C - Constant d/dx c f(x)=c d/dx f(x) d/dx x n = nx n1 d/dx sinax = acosax d/dx cosax = asinax d/dx tanx = sec 2 x d/dx cotx = csc 2 x d/dx secx = secx tanx d/dx cscx = cscx cotx d/dx e ax = ae x d/dx a x = ln(a) a x , a>0 & a1 ..
list of calculus formulas-Basic Properties and Formulas of Differentiation :
different formulaIf f (x) and g(x) are differentiable functions (the derivative exists), c and n are any real numbers, ..
Differentiation formulas:
Learn differentiation formulas: 1. `d/dx` (x n ) = n x n-1 2 . `d/dx` (cot x) = cosec 2 x 3. ` d/dx` (sec x) = sec x.tan x 4. `d/dx` (ln x) = `1/x` 5. `d/dx` (log b u) = `1/(u ln b)` `(du)/(dx)` 6. `d/dx ` `(sin^(- 1)x)` = ` 1/sqrt(1-x^2)` 7. `d/dx ` `(cos^(- 1)x)` = `- 1..
Differentiation formulas:
Learn differentiation formulas: 1. `d/dx` (x n ) = n x n-1 2 . `d/dx` (cot x) = cosec 2 x 3. ` d/dx` (sec x) = sec x.tan x 4. `d/dx` (ln x) = `1/x` 5. `d/dx` (log b u) = `1/(u ln b)` `(du)/(dx)` 6. `d/dx ` `(sin^(- 1)x)` = ` 1/sqrt(1-x^2)` 7. `d/dx ` `(cos^(- 1)x)` = `- ..
Differentiation formulas:
Learn differentiation formulas: 1. `d/dx` (x n ) = n x n-1 2 . `d/dx` (cot x) = cosec 2 x 3. ` d/dx` (sec x) = sec x.tan x 4. `d/dx` (ln x) = `1/x` 5. `d/dx` (log b u) = `1/(u ln b)` `(du)/(dx)` 6. `d/dx ` `(sin^(- 1)x)` = ` 1/sqrt(1-x^2)` 7. `d/dx ` `(cos^(- 1)x)` = `- ..
Differentiation formulas:
Learning differentiation formulas: 1. `d/dx` (x n ) = n x n-1 2 . `d/dx` (cot x) = cosec 2 x 3. ` d/dx` (sec x) = sec x.tan x 4. `d/dx` (ln x) = `1/x` 5. `d/dx` (log b u) = `1/(u ln b)` `(du)/(dx)` 6. ` d/dx` `(uv)` = `u(dv)/(dx)` + `v(du)/(dx)` 7 . `d/dx` `(u/v)` = `(v(du)/..
Differentiation problems of AP calculus :
Hints to solve porblems based on differentiation: We first view the problem then see what formula we have to use. Plug in the value of n in the formula for `x^n` then we simplify . Que 1:Find the second derivative of the following function: f(x) = x 3 - 4x 2 + 4x Sol :To find the 1 st derivativ..

The 8 Keys to Success

Posted by aD HErnANdeZ | Posted on 3:40 AM

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For years, I have been lecturing to CEOs, artists, photographers, filmmakers and other creative people on what it takes to be successful - successful at least at being who they can be, not necessarily who others think they should be. I've interviewed hundreds of successful artists, counseled hundreds of students and working professionals on their way up and a few on their way down. I've also looked at my own career, talents and motivations along the way, and come to the conclusion that there were eight keys to being successful. When I started there were five keys; in a few years, when I am wiser, then maybe I'll have 10 keys, but for now eight keys seem enough. Here they are in their order of importance.
#1: PASSION
Passion is that "demonic compulsiveness" that John Gardner talks about in his book, "On Becoming a Novelist." It's what fires any creative person, something that gets you angry, or something you love and want to share. It's ambition, a vision for your future, dim though it may be. That vision leads to setting goals, long-term goals (I want to be a photographer) and short-term goals, (what camera do I buy?). I ask everyone I interview, have you written down your goals? Most people have not. Have you? Do you know where you'd like to be in five years? I do. I have written it down, so that at year's end, or on some quiet evening, I can look at what I've written and reflect on where I've been, and where I'm going � how far along the path I've come and how far I've got to go. Often, I realize I've reached my goals and need to be dreaming about new horizons, new challenges and new goals. Write down your goals. They will tell you what to do for the short-term goals � what books to buy, skills to develop, workshops to take, exercises to do to get better.
#2: ABILITY TO ACCEPT A RISK
I do not know anyone who has succeeded who has not been able to assess and take a risk and then live with the consequence - success or failure. Risk avoidance is a sure way to remain mediocre; being safe does not promote personal growth. Failure or making a mistake is not a bad thing; it's proof you were exploring new ways to do something, and that's better than safe success. We learn from our mistakes, not our successes. Really creative people embrace risk. They can sustain a high level of ambiguity; they do not need to know where they are. They do not mind being lost, for they call it just taking the longer, more interesting way around.
#3: HIGH SELF-ESTEEM
You think well of yourself. You are not boastful or egotistical, but do have an honest understanding of your talents, handicaps and are working toward getting better.
#4: PERSISTENCE
You have just done this long enough. How long is long enough? Well, it will take 10 years. I have asked hundreds of accomplished photographers, writers, filmmakers, painters and musician how long it took before they felt they were able to speak from a source within. Ten years was been their unanimous answer.
If it takes 10 years, then how do you spend the time wisely? It will take at least two years to acquire 70 percent of the craft you will need to work in your medium. It will take another eight years to acquire the next 20 percent of your craft. At 90 percent, you will have mastered your craft, but there is that 10 percent that will take a lifetime to acquire. In the meantime, while working to master your craft (the technical skills and processes for working in your medium) you will also be learning and acquiring a personal vision, your ability to see, to observe, to create and discover things. This is difficult at first, but the older you get the wiser and more aware you become. Craft and vision are your tools for inner exploration.
Persistence takes discipline. Discipline is simply doing what you know you need to do, even though you don't feel like doing it. The first thing is knowing what to do. Most people do not know. You are reading this, so you are interested in finding out what to do. Make a list. Next, find the willpower to do what's on the list. This is the most difficult part of all the keys - finding the positive willpower to do what you know you need to do. We all wrestle with discipline for it does not come easily, not even for the most successful.
#5: BEING NICE TO WORK WITH
Why is being nice important? Because it will be other people who will help you acquire the craft, help you discover and develop your vision, give you a job, introduce you to opportunities. People want to help others, but only if they show a willingness to work, to contribute and are nice to have around. People want to have positive, enthusiastic people around, people who will solve problems, not create them.
#6: WHO YOU KNOW
If you are nice to work with, the next will follow. You need to know and be known by people who will help you, hire you, buy your work, and give you advice. Here is a list of people you need to know and be known by:
Good Teachers - People who know what you need to know and can teach it to you in a way that you learn it.
Coaches - People who know your limits and your potential and will help keep you close to your "edge" of learning and growing.
Peers - Your friends and classmates, people who are on the same rung of the ladder as you, who are striving as you are.
Masters - People who are successful in their careers who can look at your work, your process and your career and give you valuable feedback, feedback you will accept and follow.
Mentors - A master with whom you have established a working relationship, someone who is wiser, accomplished and will help you understand the limits and possibilities of your projects, your process and your creative life.
Your Clients - The people who will buy your work, give you assignments, hire you.
#7: MASTER YOUR CRAFT
Learn a craft, so you have a tool with which to earn a living. This tool can also be used to explore life - outwardly and spiritually inwardly - as you search your soul for the reasons of your existence.
#8: TALENT
Talent is the last thing you need. You have to have some of it, but you do not need a lot. Too much talent is often a handicap. Things come too easily and there is little incentive to push, to make use of the talent. I know highly talented musicians who refuse to perform in public, photographers who are so arrogant no one wants them around, filmmakers whose egos are so inflated they are a pain to deal with, and others who are so impatient at getting what they want, they never master anything and, therefore, never do succeed. I prefer to surround myself with positive, successful people, young people who are enthusiastic even though they have yet to find or develop what talent they may have.
A talent is the natural ability to do something extraordinary. We all can do a lot, but some people have been gifted with talents that go beyond what others can do. What are you talented at? Do you know?
Success is not a matter of being talented. Notice it is last on the list. A little bit of talent, combined with the other seven keys, will lead you to success. I know many people who are talented, but lack one or more of the other seven keys and they fail to succeed.
Do not blame your lack of success on your lack of talent. It will be your attitude that will determine your altitude, not your talent or lack thereof.

aBOut chRIStina AguILera

Posted by aD HErnANdeZ | Posted on 3:38 AM

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  According to the words of Chrstina AGUELIERA, along with personal interviews of the true meaning of this stanza in her song, Beautiful, Christina Aguilera approaches the reader and listener with her profound emotions. She perceives that through immense pressure and criticism, she is still "beautiful."

"I am beautiful no matter what they say
words can't bring me down
I am beautiful in every single way

yes, words can't bring me down
so don't you bring me down today"
- Christina Aguilera
What exactly does Christina Aguilera try to convey? According to her words along with personal interviews of the true meaning of this stanza in her song, Beautiful, Christina Aguilera approaches the reader and listener with her profound emotions. She perceives that through immense pressure and criticism, she is still "beautiful."
Her tone in this song is at first mellow, but when she comes to the stanza of this song, she deliberately raises her voice to emphasize her genuine feelings. The tone describes her want and need for her thoughts to be truly heard. She wants the listener to capture her essence and the view of herself. In this specific stanza, she explains that she is still "beautiful" regardless what "you" say. It is not directly specified who exactly "you" is, but it may pertain to anyone. Also, her tone is encouraging to herself and those who receive a personal meaning from it.
Her tone leads us to her message, which is that Christina Aguilera is, indeed, satisfied with herself and everything she is. She explains that despite whatever anyone says, she will not be discouraged in any means. She wants the reader and listener to comprehend that she doesn't need anyone to dishearten her of what exactly she is. She expresses to the reader and listener that she, herself will not be stressed by others negative disapproval. Her purpose is to basically state that she is who she is and no one will change that and addresses someone that there opinion would not matter, regardless.
Analyzing the word, "beautiful" in this stanza, one should perceive that she is not actually singing about the outside of her, but what she consists of emotionally and mentally on the inside. She reveals that her thoughts and emotions are of worth and value and they are of her opinion. They are consumed through her, and no one else and if anyone disagrees, she does not take that into affect. Her diction is actually pretty precise. To quote a famous cliché, beauty is not skin deep. She explains that the beauty is the sentiment.
Comprehending her lyrics, one may perceive from the understanding that her intended audience is actually anyone who may be feeling the same way as her and the effect in which she wishes to have upon them is to be like her in the way that she does not want the audience to care about anything anyone says about them. She believes that not only her, but also everyone is beautiful in every way in which adapts to them.
Considering her lyrics, one may perceive through understanding her effect, purpose, tone, and diction what her message is. Her stanza is a very positive message which is presented to anyone who is feeling the same way or to those who are actually brought down because of the discouragement of others. All in all, Christina Aguilera's genuine statements in her stanza of lyrics are easily understood, her purpose is presented clearly because of her diction and tone.

Pub Game Idiot

Posted by aD HErnANdeZ | Posted on 6:55 AM

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Last Boxing Day (that's the day after Xmas for those who don't have one) I was in a local bar with three of my friends. I don't smoke myself, but the others all did and one of them, Porky, showed us this bar game. You take a box of matches and pierce the top of it with one unlit match, so that this match sticks vertically up out of the top (i.e. the only side that doesn't have contact with the drawer underneath so that it can still open and close). The challange is to take the box in your hand and with just that one hand open the box, take out a match, light it and then light the match on top with the match you have just struck.

Turned out the hardest bit was getting the match struck with enough force to ignite it but not so much that it carries on and you burn yourself in the palm of the hand (try it and you'll see what I mean!). So me, Porky and one of the other guys had been sitting trying this for about fifteen minutes but mostly kept burning ourselves. Then Toomba, the guy who up to this point had just been watching, decided he would have a go. We were happy to sit back and nurse our burns while he took a blast at it. So, he takes the box in his hand and pokes it open with a finger. He then takes a match out WITH HIS OTHER HAND and procedes to do it and then gloat at his "success" assuming our astonished faces were because his genius brain had cracked it - ignore the "do it with one hand" bit!

The three race horses

Posted by aD HErnANdeZ | Posted on 6:53 AM

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Three racehorses were standing in a stable bragging to each other one day. The first horse boasts "I've been in 59 races and I've won 35 of them." "That's nothing," says the second horse. "I've raced 97 times, and I've won 78 of them!" The third horse joins in: "Well, I've raced 122 times and I've won 102!" Just then, the horses hear a voice say, "I've got you all beat!" The horses look down and sees a greyhound. "I've raced over 200 times, and I have NEVER lost!" The horses look at the dog in amazement. One of them says "How about that! A talking dog!"

beuty poem...

Posted by aD HErnANdeZ | Posted on 6:45 AM

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A Dream Within A Dream 
Take this kiss upon the brow!
And, in parting from you now,
Thus much let me avow--
You are not wrong, who deem
That my days have been a dream;
Yet if hope has flown away
In a night, or in a day,
In a vision, or in none,
Is it therefore the less gone?
All that we see or seem
Is but a dream within a dream.

I stand amid the roar
Of a surf-tormented shore,
And I hold within my hand
Grains of the golden sand--
How few! yet how they creep
Through my fingers to the deep,
While I weep--while I weep!
O God! can I not grasp
Them with a tighter clasp?
O God! can I not save
One from the pitiless wave?
Is all that we see or seem
But a dream within a dream?