Revision NotesExam QuestionsPast Papers
A LevelMaths: PureOCRRevision Notes7. Differentiation7.2 Applications of Differentiation7.2.6 Modelling with Differentiation inc. Optimisation

Modelling with Differentiation inc. Optimisation (OCR A Level Maths: Pure)

Revision Note

Roger

Author

Roger

Last updated

Did this video help you?

Modelling with Differentiation inc. Optimisation

How can I use differentiation to solve modelling questions?

  • Derivatives can be calculated for any variables – not just y and x
  • In every case the derivative is a formula giving the rate of change of one variable with respect to the other variable

 Model Diff Illustr 1, A Level & AS Maths: Pure revision notes

 

  • Differentiation can be used to find maximum and minimum points of a function (see Stationary Points)
  • Therefore it can be used to solve maximisation and minimisation problems in modelling questions

Model Diff Illustr 2, A Level & AS Maths: Pure revision notes

Examiner Tip

Exam questions on this topic will often be divided into two parts:

  • First a 'Show that...' part where you derive a given formula from the information in the question
  • And then a 'Find...' part where you use differentiation to answer a question about the formula

Even if you can't answer the first part you can still use the formula to answer the second part.

Worked example

Model Diff Example_A, A Level & AS Level Pure Maths Revision Notes

Model Diff Example_BC, A Level & AS Maths: Pure revision notes

You've read 0 of your 5 free revision notes this week

Sign up now. It’s free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

    Test yourself

    Did this page help you?

    Previous:7.2.5 Sketching Gradient FunctionsNext:7.3.1 First Principles Differentiation - Trigonometry
    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.