A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Can any1 explain the 3 theorems of differentiation?? pls pls

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

    The 1 that says if y = f(x) and k is a constant then dy/dx = k*df(x)/dx and the rest!!!!!!!

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

    pls explain!!!!!!

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

    This is basically saying that the derivative of a constant times a function is that same constant times the derivative of the function. So, if you have \[f(x)= 4x^{2}\] and you want the derivative \[f'(x)= 4x^{2}dx\] it is the same as \[4f'(x)= x^{2}dx\]

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

    pls explain the other 2

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

    I don't know the other two off the top of my head. If you post them I may be able to explain them.

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

    the 1 that says if y = u(x) + v(x) + w(x) then y' = u'(x) + v'(x) + w'(x)

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

    The derivative of a sum of functions is the sum of the derivatives of the functions.

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

    ?

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

    does u'(x) mean that it is the derivative of u(x)??????

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

    Yes, that is a common way of indicating derivative, along with d/du, etc.

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

    so if we were to write u(x) in its dy/dx form then it will still remain du/dx??

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

    I'm not sure I understand the question. in your statement above, "y = u(x) + v(x) + w(x) then y' = u'(x) + v'(x) + w'(x)", I assumed that u, v, and w are all some function of x. Thus u', v', w' are all derivatives of those functions with regard to x.

  13. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    its just notation; there are many ways to express it

  14. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    u' ; du/dx ; Dx; etc

  15. 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.