A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Find the critical numbers of the function. h(t) = t^3/4 − 3t^1/4

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

    What did you get for the derivative?

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

    I no im supposed to find the derivative

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

    and solve for 0, but i didnt no how to solve for 0 for this equation

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

    i got 3/4t^-1/4-3/4t^-3/4

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

    Looks right. Now set that = 0.

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

    i did that but because of the exponenti get confused

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

    \[\frac{3}{4t^{1/4}} - \frac{3}{4t^{3/4}} = 0\]

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

    so i factor out 3/4t^-1/4?

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

    I wouln't bother. Just set \(t^{1/4} = t^{3/4}\)

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

    Cause that's the only way those two things can be equal.

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

    \[\frac{3}{4}t^{-1/4} - \frac{3}{4}t^{-3/4} = 0\] \[\frac{3}{4}(t^{-1/4} - t^{-3/4}) = 0\] \[t^{-1/4} - t^{-3/4} = 0\] \[t^{-1/4} = t^{-3/4}\] \[t^{1} = t^{3}\] \[\implies t=1\]

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

    how did u get t^1=t^3

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

    raised both sides to the -4 power.

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

    ooooo so it get crossed out

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

    omg this way is much simpler then the way my teacher explained it!

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

    thank u soo much!

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

    But really you coulda guessed t would be 1 looking at the original equation for the derivative because \[\frac{3}{4t^a} - \frac{3}{4t^{3a}} = 0\] Will only be true if \(t^a = t^{3a}\) which means that t must be 1.

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

    o ya i c that now

  19. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.