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burhan101Best ResponseYou've already chosen the best response.0
\[\large f'(x)=(12x^2+8)(2x^24x)+(4x^3+8x)(4x4)\]
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.0
Wait are you finding the anti derivative..?
 11 months ago

burhan101Best ResponseYou've already chosen the best response.0
@Luigi0210 yes :S & @jishan i am not allowed to integrate
 11 months ago

DDCampBest ResponseYou've already chosen the best response.0
First, simplify. Then you should just be able to use the power rule for antiderivatives.
 11 months ago

galacticwavesXXBest ResponseYou've already chosen the best response.0
then how do you find the original function if you can't integrate
 11 months ago

JhannybeanBest ResponseYou've already chosen the best response.0
@DDCamp can you elaborate? :D Sprinkle on us your wisdom!
 11 months ago

burhan101Best ResponseYou've already chosen the best response.0
hmm, still confused
 11 months ago

JhannybeanBest ResponseYou've already chosen the best response.0
oh dear lord your writing...
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.0
Distrubute and then combine like terms
 11 months ago

galacticwavesXXBest ResponseYou've already chosen the best response.0
simplify the function given then integrate to get f(x)
 11 months ago

JhannybeanBest ResponseYou've already chosen the best response.0
But he says he's not allowed to integrate? That's what's confusing me. how to you find F(x) without integrating?
 11 months ago

galacticwavesXXBest ResponseYou've already chosen the best response.0
lol idk anymore
 11 months ago

bahrom7893Best ResponseYou've already chosen the best response.0
Is there a party going on here?
 11 months ago

JhannybeanBest ResponseYou've already chosen the best response.0
Haha. I'd be able to understand how to solve this problem if only i could make out jishan's writing =_=
 11 months ago

galacticwavesXXBest ResponseYou've already chosen the best response.0
i think he simplified the problem but its soo unclear and he also integrated
 11 months ago

jishanBest ResponseYou've already chosen the best response.1
burhan u understand brother
 11 months ago

JhannybeanBest ResponseYou've already chosen the best response.0
I see his integral sign but i cant make out the numbers :(
 11 months ago

.Sam.Best ResponseYou've already chosen the best response.0
\[\large f(x)=\int\limits\limits (12x^2+8)(2x^24x)+(4x^3+8x)(4x4) dx\] \[=\int\limits\limits (4 x4) \left(8 x4 x^3\right) \, dx+\int\limits\limits \left(812 x^2\right) \left(2 x^24 x\right) \, dx\] Expand and integrate using power rule for each term \[\int\limits x^ndx=\frac{x^{n+1}}{n+1}+c\] \[f(x)=\left(8 x^5+16 x^4+16 x^332 x^2\right)+c\]
 11 months ago

JhannybeanBest ResponseYou've already chosen the best response.0
Oh I see. Thank you.
 11 months ago

galacticwavesXXBest ResponseYou've already chosen the best response.0
now @.Sam. has shed light on what was unseen but i think @burhan101 misinterpreted the question
 11 months ago

love_jessika15Best ResponseYou've already chosen the best response.1
http://www.youtube.com/watch?v=QHaVc5iDzs
 11 months ago

love_jessika15Best ResponseYou've already chosen the best response.1
dw:1368926205410:dw
 11 months ago

.Sam.Best ResponseYou've already chosen the best response.0
I don't think you can find f(x) without integrating @galacticwavesXX
 11 months ago

galacticwavesXXBest ResponseYou've already chosen the best response.0
that's what i was thinking
 11 months ago

Jemurray3Best ResponseYou've already chosen the best response.0
You don't need to go through anything elaborate, just look at it. It's fairly clearly a productrule derivative, so just take the second part of the first term times the first part of the second term. You can add in a constant for good measure.
 11 months ago

Jemurray3Best ResponseYou've already chosen the best response.0
If you assume f(x) = g(x) * h(x), then f'(x) = g'(x)h(x) + g(x)h'(x). You can just look at the problem and go from there.
 11 months ago

burhan101Best ResponseYou've already chosen the best response.0
I am not allowed to integrate whatsoever for this question !!
 11 months ago

Jemurray3Best ResponseYou've already chosen the best response.0
I'm not talking about any integrating. Look at what I wrote, then look at the question. You can clearly see what h is, and what g is, so you know what f is.
 11 months ago

RolyPolyBest ResponseYou've already chosen the best response.0
"... are you finding the anti derivative..?" "yes :S" I suppose finding antiderivative is the same as integrating. If you don't like the integral sign, then you may take the limit of a sum: \[\lim_{x\rightarrow \infty}\sum_{k=1}^{n} y(x_k)\Delta x\], which is the same as integrating the function. For your reference: http://www3.ul.ie/~mlc/support/Loughborough%20website/chap15/15_1.pdf
 11 months ago

mathstudent55Best ResponseYou've already chosen the best response.0
dw:1368942664902:dw
 11 months ago
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