A LevelMaths: Pure 1CIERevision Notes5. Differentiation5.2 Applications of Differentiation5.2.7 Connected Rates of Change

Connected Rates of Change (CIE A Level Maths: Pure 1)

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Connected Rates of Change

What are connected rates of change?

  • In situations involving more than two variables you can use the chain rule to connect multiple rates of change into a single equation

 Conn Rates of Ch Illustr 1, AS & A Level Maths revision notes

Examiner Tip

  • These problems can involve a lot of letters – be sure to keep track of what they all refer to.
  • Be especially sure that you are clear about which letters are variables and which are constants – these behave very differently when differentiation is involved!

Worked example

Conn Rates of Ch Example, A Level & AS Level Pure Maths Revision Notes

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    Roger

    Author: Roger

    Expertise: Maths

    Roger's teaching experience stretches all the way back to 1992, and in that time he has taught students at all levels between Year 7 and university undergraduate. Having conducted and published postgraduate research into the mathematical theory behind quantum computing, he is more than confident in dealing with mathematics at any level the exam boards might throw at you.