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

xmas

Find the inflection points at x=C and x=D with C less than or equal to D? Consider the function f(x) = x^(2)e^(9x). I just don't know how to determine what the inflection points are after I find the second derivative. f(x) has two inflection points at x = C and x = D with C less than or equal to D What is C What is D

  • one year ago
  • one year ago

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

    take the derivative twice, set it equal to zero, there are to answers one is smaller than the other, the smaller one is C and the larger one is D

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

    *two answers

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

    when you get the second derivative, factor out the \(e^{9x}\) and get \[e^{9 x} (81 x^2+36 x+2)\]

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

    \(e^{9x}\) is never zero, solve the quadratic equation you will get two zeros, those are the inflection points

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

    Oh! Thank you! It's the quadratic function that I need to use for this problem.

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

    And to find C and D would be by inputing it into which function?

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

    I mean inputing the value of x.

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

    exactly you get two answers from the quadratic formula the smaller one C and the larger on D if you have to write both coordiates, yes, you evaluate the function at those points (the original function)

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

    Thank you so much! This helps a whole lot!

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

    yw

    • 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.