Results 1 to 3 of 3

Math Help - Math help: rate of change?

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    4

    Post Math help: rate of change?

    How would I solve this?

    Find the rate of change of the distance between the origin and a moving point on the graph of y-sinx if dx/dt =2cm/sec when x= pi/2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19
    Quote Originally Posted by supaflyz88 View Post
    How would I solve this?

    Find the rate of change of the distance between the origin and a moving point on the graph of y-sinx if dx/dt =2cm/sec when x= pi/2
    post deleted

    sorry i made an error
    Last edited by adkinsjr; October 24th 2009 at 05:38 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19
    Ok, this is what you're looking for:

    Use the distance formula:

    s=\sqrt{(x-0)^2+(sin(x)-0)^2}=\sqrt{x^2+sin^2(x)}

    Now find the derivative with respect to x: \frac{ds}{dx} and find it's value at the given point. Then just use the chain rule:

    \frac{ds}{dt}=\frac{ds}{dx}\frac{dx}{dt}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. rate of change
    Posted in the Calculus Forum
    Replies: 6
    Last Post: June 4th 2011, 11:18 PM
  2. Replies: 3
    Last Post: April 12th 2011, 10:51 AM
  3. What, exactly, is a rate of change?
    Posted in the Calculus Forum
    Replies: 6
    Last Post: April 11th 2010, 06:52 PM
  4. CAN ANY1 HELP ME!!! Math C - Rate's of Change
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: August 20th 2008, 02:48 AM
  5. Rate of change
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 14th 2006, 03:26 PM

Search Tags


/mathhelpforum @mathhelpforum