AQA A Level Maths: Pure复习笔记7.3.3 Chain Rule

Chain Rule

What is the chain rule?

  • The chain rule is a formula that allows you to differentiate composite functions
  • If y is a function of u, and u is a function of x, then the chain rule tells us that: This allows us to differentiate more complicated expressions:

7.3.3-Chain-Rule-Illustr-1_ex

7.3.3-Chain-Rule-Illustr-2_ex

What are the special cases of the chain rule?

7.3.3-Chain-Rule-Illustr-3_ex

  • 7.3.3-Chain-Rule-Illustr-4_exExam Tip
  • The chain rule formulae are not in the exam formulae booklet – you have to know them.
  • When using the chain rule be sure to keep your functions straight (ie which function is y and which is u, or which is f and which is g).

Worked Example

7.3.3-Chain-Rule-Example

 

 

 

 

 

转载自savemyexams

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