Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

TechnoFiction

  • 2 years ago

Can anyone help me with the derivative of: y=x^11 e^x

  • This Question is Closed
  1. TechnoFiction
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[y=x ^{11}e ^{x}\] Much easier to look at.

  2. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    do you know the product rule

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

    Yeah, I somehow worked out the problem by myself. Just want to make sure if I got it right or not.

  4. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    well tell me what you got :)

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

    I look really ridiculous, but: \[11x ^{10}e ^{x}+x ^{11}e ^{x}\] Here you go.

  6. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    looks right to me

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

    hm....ok, if you say so. I just don't feel right somehow. It look too long and weird.

  8. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    It's right! \(u=x^{11} => u' = 11x^{10}\) \(v=e^{x} => v' = e^{x}\) \(=> 11x^{10}*e^{x}+ x^{11}e^{x}\)

  9. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You can also write it like: \(e^{x} (11x^{10}+x^{11})\) if it looks too "weird" :)

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

    ok, thanks :D

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

    You could also factor the \[x ^{10}\]and express the derivative as\[\frac{ dy }{ dx }=x ^{10}e ^{x}(11+x)\]

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

    Cool, thanks

  13. 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.