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AQA A Level Maths: Pure復(fù)習(xí)筆記7.3.3 Chain Rule

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年8月9日 上午10:13

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

 

 

 

 

 

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