1. Limited time only! Sign up for a free 30min personal 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!

Question about notation on derivatives

  1. Jul 28, 2010 #1
    1. The problem statement, all variables and given/known data
    If I'm asked to find the acceleration at t=2 s I can just put the X with two dots on top of it parentheses(2 s)?
    X(2) = what ever I calculate it being equal to

    that's all I have to put right the X with two dots indicated the derivative of x( distance) the two dots indicating the second derivative acceleration

    If I wanted to show like I don't know the first derivative of volume with reference of time I can just put V with a dot above it right i don't have to put V = volume or X = displacement next to it right?

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Jul 28, 2010 #2
    or do I have to put the v with a dot above it to indicate the first derivative of velocity with parentheses (2) next to it instead right becaues that would be more correct?
  4. Jul 28, 2010 #3


    Staff: Mentor

    I have no idea what you're trying to get across in about half of what you wrote.

    The dot notation for derivative is due to Newton, who always used it to mean derivative with respect to time. Another notation uses a prime symbol (') to indicate a derivative (not necessarily with respect to time).

    Leibniz's notation uses differentials, with dy/dt meaning the derivative of y with respect to t.

    Since it's difficult to put one or more dots above a letter without doing something fancy in LaTeX, why bother with the dot notation?
  5. Jul 28, 2010 #4


    Staff: Mentor

    v(t) represents the velocity at an arbitrary time t.
    v(2) represents the velocity at time 2, in whatever time units are being used.
    v'(t) is the derivative of the velocity with respect to t (i.e., the acceleration) at an arbitrary time t.
    v'(2) is the derivative of the velocity with respect to t (i.e., the acceleration) at time 2.
  6. Jul 28, 2010 #5
    Thanks I just wanted to make sure...
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Question notation derivatives Date
Notation Question Feb 21, 2016
Sigma notation question Sep 14, 2015
Quick question regarding matrix/index notation Jun 13, 2015
Question on set notation Mar 12, 2015
Killing tensor notation quick questions Jan 3, 2015