Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

What's the derivative of {sqrt (2x)} ?

  1. Oct 30, 2003 #1
    I'm told that you don't need the product rule, or chain rule, or quotient rule to work it out. Can anyone show the workings as well please...???
     
  2. jcsd
  3. Oct 30, 2003 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    I don't see anyway to find the derivative of √(2x) without using the chain rule (because of the "2", not the "√").

    Write f(x)= (2x)1/2 and use the "power" rule:

    f'(x)= (1/2)(2x)1/2-1(2x)'
    = (1/2)(2x)-1/2(2)
    = 1/√(2x)
     
  4. Oct 30, 2003 #3

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    √(2x) = √2 √x

    You can take it from here using the power rule and the scalar multiple rule.
     
  5. Oct 30, 2003 #4

    chroot

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    I love when you to Alfred E. Newmans fight it out.

    - Warren
     
  6. Oct 30, 2003 #5

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    You must be mad!
     
  7. Oct 31, 2003 #6

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Oh, well, if want to do it the EASY way!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: What's the derivative of {sqrt (2x)} ?
Loading...