Section_4.3_lnx

Section_4.3_lnx - quotient rule. Example 3: Differentiate (...

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Section 4.3 Differentiation of Logarithmic and Exponential Functions Rule 1. The Derivative of x y ln = ( ) x x dx d 1 ln = for x > 0 For the composition )), ( ln( x f y = use the chain rule. ( ) ) ( ' ) ( 1 ) ( ln x f x f x f dx d = for x > 0 Example 1 : Differentiate the function x x x f ln ) ( = NOTE: ) ( x f is a product where x is the first factor and x ln is the second factor. Therefore we will use the product rule.
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Example 2: Differentiate 4 3 2 ln ) ( x x x f = NOTE: ) ( x f is a quotient. Therefore, you will have to use the
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Unformatted text preview: quotient rule. Example 3: Differentiate ( ) 2 / 3 ln ) ( t t t f + = NOTE: ) ( t f is a composition. Therefore, we will use the chain rule. Example 4: Differentiate the function ) 1 2 ln( ) ( 3 + = x x f . NOTE: ) ( t f is a composition. Therefore, we will use the chain rule. Example 5: Find an equation for the tangent line to the graph of x x x f ln ) ( = at the point where x = 1....
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Section_4.3_lnx - quotient rule. Example 3: Differentiate (...

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