Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

burhan101

  • one year ago

Determine f(x) for this derivative

  • This Question is Closed
  1. burhan101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\large f'(x)=(-12x^2+8)(2x^2-4x)+(-4x^3+8x)(4x-4)\]

  2. jishan
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    bro just intigrate

  3. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wait are you finding the anti derivative..?

  4. burhan101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Luigi0210 yes :S & @jishan i am not allowed to integrate

  5. DDCamp
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    First, simplify. Then you should just be able to use the power rule for anti-derivatives.

  6. galacticwavesXX
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then how do you find the original function if you can't integrate

  7. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @DDCamp can you elaborate? :D Sprinkle on us your wisdom!

  8. burhan101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm, still confused

  9. jishan
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1368925422997:dw|

  10. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh dear lord your writing...

  11. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Distrubute and then combine like terms

  12. galacticwavesXX
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    simplify the function given then integrate to get f(x)

  13. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    But he says he's not allowed to integrate? That's what's confusing me. how to you find F(x) without integrating?

  14. galacticwavesXX
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol idk anymore

  15. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    My mind r gone.

  16. jishan
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1368925643123:dw|

  17. jishan
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    burhan

  18. bahrom7893
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is there a party going on here?

  19. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes

  20. jishan
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thanks bahrom

  21. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Haha. I'd be able to understand how to solve this problem if only i could make out jishan's writing =_=

  22. galacticwavesXX
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think he simplified the problem but its soo unclear and he also integrated

  23. jishan
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    burhan u understand brother

  24. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I see his integral sign but i cant make out the numbers :(

  25. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\large f(x)=\int\limits\limits (-12x^2+8)(2x^2-4x)+(-4x^3+8x)(4x-4) dx\] \[=\int\limits\limits (4 x-4) \left(8 x-4 x^3\right) \, dx+\int\limits\limits \left(8-12 x^2\right) \left(2 x^2-4 x\right) \, dx\] Expand and integrate using power rule for each term \[\int\limits x^ndx=\frac{x^{n+1}}{n+1}+c\] \[f(x)=\left(-8 x^5+16 x^4+16 x^3-32 x^2\right)+c\]

  26. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh I see. Thank you.

  27. galacticwavesXX
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now @.Sam. has shed light on what was unseen but i think @burhan101 misinterpreted the question

  28. love_jessika15
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    http://www.youtube.com/watch?v=QHaVc5i-Dzs

  29. love_jessika15
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1368926205410:dw|

  30. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't think you can find f(x) without integrating @galacticwavesXX

  31. galacticwavesXX
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that's what i was thinking

  32. Jemurray3
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You don't need to go through anything elaborate, just look at it. It's fairly clearly a product-rule 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.

  33. Jemurray3
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 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.

  34. burhan101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I am not allowed to integrate whatsoever for this question !!

  35. Jemurray3
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 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.

  36. RolyPoly
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    "... are you finding the anti derivative..?" "yes :S" I suppose finding anti-derivative 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

  37. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1368942664902:dw|

  38. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.