A+ » VCE » Maths Methods U3 & 4 Master Notes » A3 Calculus » 5.2 Rates of Change, Motion in a Straight Line

5.2 Rates of Change, Motion in a Straight Line

Finding Rates of Change

  • Recall that by definition, y=f^{\prime}(x) also represents the instantaneous rate of change of a function.
  • Also, by definition, the average rate of change across an interval [a,\ b] is given by

Average \: Rate \: of \: Change =\frac{f(b)-f(a)}{b-a}

  • Using differentiation, we can find the rate of change of a variable (e.g. volume, temperature, speed etc.) at any certain point of another variable (e.g. time).

Example

This content is for Master Notes MM members only. Unlock the content by signing up for a membership level - quick and easy!
Log InSign Up