1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integration (Related to Physics)

  1. Feb 18, 2008 #1
    [SOLVED] Integration (Related to Physics)

    This shouldn't take long :smile:

    I have been given the general equation for a straight line which is:

    [tex]y=mx+c[/tex]

    Now I know that to determine the gradient I can use:

    [tex]m=\frac{y}{x}[/tex]

    Here is my question. Can I differentiate the initial equation given to get to [tex]m=\frac{y}{x}[/tex]

    If so, which I am sure you can, then I seem to have come across a problem, though I think it is a problem in my differentiation.

    [tex]y=mx=c[/tex]

    [tex]\frac{dy}{dx}=mx^{-1}[/tex]

    [tex]m=\frac{y}{x^{-1}}[/tex]

    or

    [tex]m=\frac{x}{y}[/tex]

    This does not agree with my initial statement. Either my differentiation is incorrect or I need to touch up on my laws of indices, and if neither of these maybe I am deluded and this can't be done anyway :tongue:

    _Mayday_
     
  2. jcsd
  3. Feb 18, 2008 #2

    Doc Al

    User Avatar

    Staff: Mentor

    (1) The slope is given by [itex]m = \Delta y / \Delta x[/itex], not [itex]m = y/x[/itex].
    (2) The derivative (with respect to x) of mx + c is just m.
     
  4. Feb 18, 2008 #3
    Just noticed the thread title is integration not differentiation. Thank you for your help.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Integration (Related to Physics)
  1. Integrals, Physics (Replies: 3)

Loading...