Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

burhan101

  • 2 years ago

Determine f(x) for this derivative

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

    bro just intigrate

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

    Wait are you finding the anti derivative..?

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

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

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

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

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

    hmm, still confused

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

    |dw:1368925422997:dw|

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

    oh dear lord your writing...

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

    Distrubute and then combine like terms

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

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

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

    lol idk anymore

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

    My mind r gone.

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

    |dw:1368925643123:dw|

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

    burhan

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

    Is there a party going on here?

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

    Yes

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

    thanks bahrom

  21. Jhannybean
    • 2 years 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
    • 2 years 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
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    burhan u understand brother

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

    Oh I see. Thank you.

  27. galacticwavesXX
    • 2 years 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
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

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

    |dw:1368926205410:dw|

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

    that's what i was thinking

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

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

  35. Jemurray3
    • 2 years 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
    • 2 years 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
    • 2 years 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

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.