CALCULUS Understanding Its Concepts and Methods
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Rates of change
A rate of change is the ratio of changes in two variables.
If the variable y changes from y0 to y1 as the variable x changes from x0 to x1 , then the rate of change of y with respect to x is the ratiowhich is the slope of the line joining the two points (x0,y0) and (x1,y1) .
The average rate of change of a function
over the interval
a ≤ x ≤ b
the line joining the two points
The instantaneous rate of change of a function f at a is
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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.