the reverse process of differentiaton
we know that, for example if f(x) = 2x^3 - 5x^2 + 3x -7
then f'(x) = 6x^2 - 10x + 3
This process can be reversed.
In general, y = x^n -> dy/dx = nx^(n-1)
So, reversing this process, it would seem that dy/dx = x^m -> y = (1/(m+1))x^(m+1)
The general process of finding a function from its derivative is known as interation.
we know that, for example if f(x) = 2x^3 - 5x^2 + 3x -7
then f'(x) = 6x^2 - 10x + 3
This process can be reversed.
In general, y = x^n -> dy/dx = nx^(n-1)
So, reversing this process, it would seem that dy/dx = x^m -> y = (1/(m+1))x^(m+1)
The general process of finding a function from its derivative is known as interation.
Given that dy/dx = 12x^2 + 4x - 5, find an expression for y.
y = 12((x^3)/3) + 4((x^2)/2) - 5((x^1)/1)
It would seem that
y=4x^3 + 2x^2 - 5x
but that is not quite the complete answer
Whenever you differentiate a constant you get zero,
e.g. y = 7 dy/dx = 0
and so the expression for y above could have any constant on the end and still satisfy dy/dx = 12x^2 + 4x - 5
The answer to this example is therefore
y= 4x^3 + 2x^2 - 5x + c, where c is a constant.
y = 12((x^3)/3) + 4((x^2)/2) - 5((x^1)/1)
It would seem that
y=4x^3 + 2x^2 - 5x
but that is not quite the complete answer
Whenever you differentiate a constant you get zero,
e.g. y = 7 dy/dx = 0
and so the expression for y above could have any constant on the end and still satisfy dy/dx = 12x^2 + 4x - 5
The answer to this example is therefore
y= 4x^3 + 2x^2 - 5x + c, where c is a constant.
by hotgirl69xxx December 22, 2004
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1) A word used to describe conversations in which men and women fail to communicate, not by being from different planets like Mars and Venus, but by being from entirely different galaxies!
2) The way a guy talks when he needs to be beat with the cluestick.
3) The way that all conversations between Harry and Sally were in the film "When Harry Met Sally."
4) The nature of most conversations with Rockzilla.
1) A word used to describe conversations in which men and women fail to communicate, not by being from different planets like Mars and Venus, but by being from entirely different galaxies!
2) The way a guy talks when he needs to be beat with the cluestick.
3) The way that all conversations between Harry and Sally were in the film "When Harry Met Sally."
4) The nature of most conversations with Rockzilla.
I f*ckin* still don't understand what you're trying to say to me, Sam Enoka. This conversation is so intergalactic, I may never get it!
by Melissarock January 3, 2006
Get the intergalactic mug.Satan reincarnated. Otherwise known as your neighbor Philleus. This person is attracted young children of a different race but of the same gender.
Boy: Why can't I go to Philleus' house?
Man: Philleus is a Homosexual Interracial Necropedophile.
Boy: What does that mean?
Man: He likes dead black boys.
Man: Philleus is a Homosexual Interracial Necropedophile.
Boy: What does that mean?
Man: He likes dead black boys.
by SaltyIce June 5, 2018
Get the Homosexual Interracial Necropedophile mug.Intergalaticastellar, is only a term you could come up with stoned. It is to encompass everything in the whole universe. Normally involving a huge war. Harrison and Marco give it two thumbs up
"Holy shit dude, that intergalaticastellar war was sick, people need to smoke the green and chill out with this war shit."
by Spedbud January 12, 2007
Get the intergalaticastellar mug.Sorry, Charlie the Unicorn, Salad Fingers and I cant make it to the Magical Leoplurodon's birthday party because we have a legal meeting to discuss the restraining order and my interanimasexuality. But dont't worry, I'll be calling your later. :-*
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