(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle moves along a path described by y = 4 - x^2. At what point along the curve are x and y changing at the same rate

2. Relevant equations

Simple equations regarding derivatives.

3. The attempt at a solution

It's been a while before I've done any related rates problems, could someone please let me know if this is correct:

Since, x and y must be changing at the same rate (presumably with respect to time) x' = y' and y' = -2xx'. Therefore, -2x = 1 and x = -1/2. Placing my x value into the original equation yields 15/4. Hence, the point is (-1/2, 15/4).

Thanks.

**Physics Forums - The Fusion of Science and Community**

# Point on a Curve

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Point on a Curve

Loading...

**Physics Forums - The Fusion of Science and Community**