Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ujjwal

If y=(x+1)(x+2)(x+3)......(x+n) then dy/dx at x=0 is: a)n! ln(1+x) b)n! ln2 c)n! ln3 d)n! (1+\(\frac{1}{2}\)+\(\frac{1}{3}\)+.... +\(\frac{1}{n}\))

  • one year ago
  • one year ago

  • This Question is Closed
  1. Zarkon
    Best Response
    You've already chosen the best response.
    Medals 1

    only one of the answers makes sense

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

    a) has an x in it...that's not good

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

    You can do it for like small values of n and see if you see one of the patterns above like for n=1,n=2,n=3,n=4 I would stop at n=4 (also hint: don't multiply the junk out after applying product rule)

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

    b) and c) will give answers that are not integers

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

    Thats true lol

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

    te derivative of y evaluated at zero will clearly be an integer

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

    How do you know that the derivative of y evaluated at zero will be an integer?

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

    Have you done any of the cases I mentioned to convince yourself?

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

    I haven't done such problems before..

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

    If y=x+1, then y'=1 so y'(at x=0) =1 If y=(x+1)(x+2), then y'=? <---use product rule....after using product rule don't multiply the junk out and then evaluate y' at x=0 and see what you get

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

    let n=1

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

    only one answer will work

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

    @Zarkon , you mean to say that we can put value n=1 and see which option satisfies.. And that's it..??

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

    Remember the product of integers will be integers and the sum of integers will be integers

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

    if they give you options...which they do...yes

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

    at least for this problem

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

    Thanks a lot @Zarkon and @freckles ...

    • one year ago
    • Attachments:

See more questions >>>

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.