A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

If something is an integer, can I take the partial derivative of it with respect to it or not?

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

    Do you have the function available?

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

    Yes I do. y=m(n^2)r

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

    \[y=mn^2r\]?

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

    Correct.

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

    Let me check something.

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

    ok

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

    I'm pretty sure the answer is no, but I wanted to check through some of my advanced stuff. Basically, there's a theorem that says if a function is differentiable, it's continuous. This function is not continuous (this is what I wanted to check - I wanted to see if there was a definition of continuity outside the real numbers), so the function cannot be differentiable. This is the problem had by another integral function, n!. It was extended into the Gamma Function, which spat out n! but had values in between (making continuous). Mathematicians wanted this so they could take the derivative of n!.

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

    Thanks!

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

    I agree with lokisan. You can take the partial derivative of an integer with respect to any variable but not a constant. Do I make sense?

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

    So I'm unable to take the partial derivative of n in the following equation: \[Fc = (4\pi ^{2}mn^{2}r)/T^{2}\] where n is an integer number having no uncertainty

  11. 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.