Home » VCE » Maths Methods U3 & 4 Master Notes » 5.7 Maximum Rates of Increase or Decrease

5.7 Maximum Rates of Increase or Decrease

Maximum Rates of Increase or Decrease

  • Earlier, we noticed how the first derivative f^{\prime}(x) can be used to find maximum and minimum values.
  • Similarly, we can find maximum and minimum values for f^{\prime}(x) by using its derivative, f^{{\prime}{\prime}}(x) i.e. the second derivative.
  • Recall that f^{\prime}(x) is interpreted as the rate of increase/decrease/change, therefore f^{{\prime}{\prime}}(x) is capable of finding the maximum and minimum rate of increase or decrease.
  • A table is constructed below to illustrate the cases.
This content is for A+ MM Master Notes Unit 3 & 4 members only. Unlock the content by signing up for a membership level - quick and easy!
Log InSign Up