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

rnotchick

Find any critical numbers of the function f(x)=x^2(x^2−64).

  • one year ago
  • one year ago

  • This Question is Closed
  1. myininaya
    Best Response
    You've already chosen the best response.
    Medals 0

    Find f' Set f'=0

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

    Solve f'=0 for x :)

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

    Dont you have to set the derivative equal to 0?

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

    Yep.

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

    I am confused on what the derivative is of this

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

    You know product rule you have a function times another function. You have x^2 times (x^2-64)

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

    \[(fg)'=f'g+fg' \]

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

    okay thats what i thought

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

    Then the two numbers that make that 0 are 0 and 8 i thought

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

    You need to find [x^2(x^2-64)]'

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

    You need to use the product rule.... Or! You could distribute x^2 first then just use power rule for both terms.

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

    Okay after I have the derivative of that, what is the next step

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

    2x(x^2-64)+x^2(2x)

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

    ?

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

    Right! :) Now set that equal to 0 and solve for x.

    • 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.