Connected Rates of Change (Cambridge (CIE) O Level Additional Maths) : Revision Note

Amber

Author

Amber

Last updated

Did this video help you?

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

  • Look out for the word "rate"

    • This implies a derivative is involved

    • e.g. The height is increasing at a rate of 4 cm per second means fraction numerator d h over denominator d t end fraction equals 4

  • If the variable is decreasing then the rate will be negative

    • e.g. The height is decreasing at a rate of 4 cm per second means fraction numerator d h over denominator d t end fraction equals negative 4

 

Example of a connected rates of change problem

Examiner Tips and Tricks

  • 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
👀 You've read 1 of your 5 free revision notes this week
An illustration of students holding their exam resultsUnlock more revision notes. It's free!

By signing up you agree to our Terms and Privacy Policy.

Already have an account? Log in

Did this page help you?

Amber

Author: Amber

Expertise: Maths Content Creator

Amber gained a first class degree in Mathematics & Meteorology from the University of Reading before training to become a teacher. She is passionate about teaching, having spent 8 years teaching GCSE and A Level Mathematics both in the UK and internationally. Amber loves creating bright and informative resources to help students reach their potential.

Download notes on Connected Rates of Change