IB DP Maths: AA SL复习笔记5.2.2 Techniques of Differentiation
Chain Rule
What is the chain rule?
How do I know when to use the chain rule?
How do I use the chain rule?
Are there any standard results for using chain rule?
Exam Tip
- You should aim to be able to spot and carry out the chain rule mentally (rather than use substitution)
- every time you use it, say it to yourself in your head
“differentiate the first function ignoring the second, then multiply by the derivative of the second function"
- every time you use it, say it to yourself in your head
Worked Example
Product Rule
What is the product rule?
How do I know when to use the product rule?
How do I use the product rule?
Exam Tip
Worked Example
Quotient Rule
What is the quotient rule?
How do I know when to use the quotient rule?
- if the numerator is a constant, negative powers can be used
- if the denominator is a constant, treat it as a factor of the expression
How do I use the quotient rule?
Exam Tip
Worked Example
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