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anonymous
 3 years ago
Determine f(x) for this derivative
anonymous
 3 years ago
Determine f(x) for this derivative

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

Luigi0210
 3 years ago
Best ResponseYou've already chosen the best response.0Wait are you finding the anti derivative..?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@Luigi0210 yes :S & @jishan i am not allowed to integrate

DDCamp
 3 years ago
Best ResponseYou've already chosen the best response.0First, simplify. Then you should just be able to use the power rule for antiderivatives.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then how do you find the original function if you can't integrate

Jhannybean
 3 years ago
Best ResponseYou've already chosen the best response.0@DDCamp can you elaborate? :D Sprinkle on us your wisdom!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1368925422997:dw

Jhannybean
 3 years ago
Best ResponseYou've already chosen the best response.0oh dear lord your writing...

Luigi0210
 3 years ago
Best ResponseYou've already chosen the best response.0Distrubute and then combine like terms

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0simplify the function given then integrate to get f(x)

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1368925643123:dw

bahrom7893
 3 years ago
Best ResponseYou've already chosen the best response.0Is there a party going on here?

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i think he simplified the problem but its soo unclear and he also integrated

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0burhan u understand brother

Jhannybean
 3 years ago
Best ResponseYou've already chosen the best response.0I see his integral sign but i cant make out the numbers :(

.Sam.
 3 years ago
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 \[\int\limits x^ndx=\frac{x^{n+1}}{n+1}+c\] \[f(x)=\left(8 x^5+16 x^4+16 x^332 x^2\right)+c\]

Jhannybean
 3 years ago
Best ResponseYou've already chosen the best response.0Oh I see. Thank you.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now @.Sam. has shed light on what was unseen but i think @burhan101 misinterpreted the question

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1368926205410:dw

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that's what i was thinking

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0If 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I am not allowed to integrate whatsoever for this question !!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I'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.

anonymous
 3 years ago
Best 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

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1368942664902:dw
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