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

v.s

Find f '(x) and f ''(x). f(x) = x^8ex f '(x) = f ''(x) =

  • one year ago
  • one year ago

  • This Question is Closed
  1. satellite73
    Best Response
    You've already chosen the best response.
    Medals 1

    \[f(x)=x^8e^x\]?

    • one year ago
  2. v.s
    Best Response
    You've already chosen the best response.
    Medals 0

    f(x) = x^8e^x

    • one year ago
  3. goformit100
    Best Response
    You've already chosen the best response.
    Medals 0

    Diffrentiate it and reply your answer

    • one year ago
  4. satellite73
    Best Response
    You've already chosen the best response.
    Medals 1

    product rule for this one use \[(fg)'=f'g+g'f\] with \(f(x)=x^8,f'(x)=8x^7,g(x)=e^x,g'(x)=e^x\)

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

    (8x^7)(e^x)+(x^8)(e^x)

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

    that answer is good for f'(x).

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

    how do i do f''(x)

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

    \(\large f'(x) = 8x^7e^x + x^8e^x\) just take the derivative of each term in the sum above using product rule

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

    f''(x) = (56x^6)(e^x)+(8x^7)(e^x)

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

    that is the derivative of the first term, but not f''(x) yet.

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

    f''(x) = ((56x^6)(e^x)+(8x^7)(e^x))+((8x^7)(e^x)+(8x^7)(e^x))

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

    good except for the last term in you answer \[f''(x) = 56^6e^x + 8x^7e^x + 8x^7e^x + x^8e^x\]

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

    sorry, missed an x :) \[f''(x) = 56x^6e^x + 8x^7e^x + 8x^7e^x + x^8e^x\]

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

    thank you

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

    you may need to gather like terms...

    • one year ago
  16. v.s
    Best Response
    You've already chosen the best response.
    Medals 0

    okaay

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

    would it be 16x^7(e^x)

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

    yep!

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

    i got it wrong

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

    maybe you also need to factor it??? \[f''(x) = 56x^6e^x + 16x^7e^x + x^8e^x\] \[GCF = x^6e^x\]

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

    (56x^6)(e^x)+(x^8)(e^x)+(16x^7)(e^x)

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

    maybe you also need to factor it??? \[f''(x) = 56x^6e^x + 16x^7e^x + x^8e^x\] \[GCF = x^6e^x\]

    • one year ago
  23. v.s
    Best Response
    You've already chosen the best response.
    Medals 0

    ohhh

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

    have to simplify

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

    i got ti thank you

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

    cool.

    • 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.