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# 13145 - 6 9 6 5 = x x x f Example 5 Find the derivative if...

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Lesson 5 – The Product and Quotient Rules 1 Lesson 5 The Product and Quotient Rules In this lesson, we continue with more rules for finding derivatives. These are a bit more complicated. Rule 8: The Product Rule [ ] ) ( ' ) ( ) ( ' ) ( ) ( ) ( x f x g x g x f x g x f dx d + = Example 1: Use the product rule to find the derivative if ). 6 )( 1 5 7 ( ) ( 3 2 + + - = x x x x f Example 2: Find the derivative if x e x x f 10 3 ) ( = . Example 3: Find the derivative if x x x f ln ) ( 2 = .

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Lesson 5 – The Product and Quotient Rules 2 Rule 9: The Quotient Rule [ ] 2 ) ( ) ( ' ) ( ) ( ' ) ( ) ( ) ( x g x g x f x f x g x g x f dx d - = , 0 ) ( x g Example 4: Find the derivative if
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Unformatted text preview: 6 9 6 5 ) ( + + = x x x f . Example 5: Find the derivative if 2 1 ) ( 2 3 +-= x x x f . Lesson 5 – The Product and Quotient Rules 3 Example 6: Find the derivative if 6 ) (-= x x e e x f . Example 7: Find the derivative if 2 ln 4 ) ( x x x f = Example 8: Find the derivative if x e x x f 2 ) ( = From this lesson, you should be able to State the product rule and the quotient rule Apply the product rule where appropriate Apply the quotient rule where appropriate...
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13145 - 6 9 6 5 = x x x f Example 5 Find the derivative if...

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