Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jpjones

  • 2 years ago

derivative of (t-1/t)

  • This Question is Closed
  1. vf321
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For t!=0, f(t) = 1-(1/t). Do you know how to derive that?

  2. alexray19
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you mean \[\frac{t-1}{t}\] or \[t-\frac{1}{t}\]?

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

    the second one

  4. vf321
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh nvm forget my answer then.

  5. alexray19
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Well you're just doing two separate derivatives then. One for t, and one for -1/t. Can you do these separately?

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

    no i wouldn't have asked othewrwise

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

    i think the derivative of t is zero

  8. alexray19
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You don't know what the derivative of t is?

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

    or 1

  10. alexray19
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No, 0 is only the derivative of a constant. For example, the derivative of the number 5 is 0. t is a variable that changes, so its derivative can't be 0 (that would imply it's not changing). Yes, 1 is correct for t.

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

    now -1/t?

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

    Use to power rule: \[\frac{d}{dx}x^n = n\cdot x^{n-1}\] In the first case, n = 1, and in the second case n = -1.

  13. alexray19
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If you know the power rule, you can use it to derive -1/t by first rewriting it as \[-t^{-1}\]

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

    thank wio

  15. 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.