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Lesson 5-19292

# Lesson 5-19292 - ” refers to the derivative of the...

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Math 1314 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 )( 5 7 ( ) ( 3 2 + - = x x x f Example 2 : Find the derivative if x xe x f = ) ( .

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Example 3 : Find the derivative if x x x f ln ) ( 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 It is easier for some students to remember this using this device: lo lo lo de hi hi de lo lo hi dx d - = where “
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Unformatted text preview: ” refers to the derivative of the numerator and “ de lo ” refers to the derivative of the denominator. Example 4 : Find the derivative if 6 9 6 5 ) ( + + = x x x f . Example 5 : Find the derivative if 1 ) ( 2 + = x x x f . Example 6 : Find the derivative if x x x f ln 4 ) ( = 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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