Results 1 to 3 of 3

Math Help - Theory clarification on rate of change

  1. #1
    Super Member
    Joined
    Dec 2009
    Posts
    755

    Theory clarification on rate of change

    Disclaimer: I am not placing this thread here on purpose, but I am not sure if this question falls under the section calculus or pre-calculus.

    Anyway, the point of this thread is my question. I would like to clarify if the rate of change is equals to the deriviative of the equation.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1
    Rate of change is, at it's simplest, how quickly something is changing. You can define any time period you like.
    For example speed is the rate at which distance is changing in a given time, you can use the NY marathon as a rate of change.

    Calculus comes into it because we can make the amount of time smaller and smaller to get a more accurate rate for that given part - if, for example I climb 3 flights of stairs in 1 minute the rate of change is 1 flight of stairs per minute. However, I could have dashed up 2 flights in 30s, rested for 10s and then took 20s up the last which means the average wouldn't work.

    By decreasing the interval time a more accurate picture is obtained at that point. Calculus comes into it when there is an infintesimally small change
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Dec 2009
    Posts
    226
    Yes, instataneous rate of change is synonymous with the derivative.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: April 12th 2011, 10:51 AM
  2. rate of change
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 13th 2010, 08:21 PM
  3. Set theory clarification
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: November 18th 2009, 05:39 PM
  4. rate of change
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 11th 2009, 10:13 PM
  5. Rate of change
    Posted in the Statistics Forum
    Replies: 2
    Last Post: April 18th 2007, 08:27 AM

Search Tags


/mathhelpforum @mathhelpforum