Derivative rules

Derivative rules

Chain

rule

​Product

rule

​Quotient

rule​

Power

rule​

​1

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​2

​3

​4

https://youtu.be/2arznzePtoM​

Chain rule

​The chain rule is used when differentiating a function of a function.

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Example

Fill in the Blanks

Find the derivative of $f\left(x\right)=\left(3x+1\right)^5$  

Product rule

​The product rule is used when a function is multiplied by another function.

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Example

Open Ended

What is the first step to find a derivative using the product rule?

Quotient rule

Multiple Choice

Which function will end up squared in the denominator?

• the original numerator

• the original denominator

​The quotient rule is used when you have one function divided by another function.

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Example

Power rule

​The power rule is used when a function contains an exponent with a real number.

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Poll

Which function would you not use the power rule with?

• $$f\left(x\right)=3x^2$$  

• $$f\left(x\right)=x^6$$  

• $$f\left(x\right)=x+7$$  

Examples