calc notes lecture 10

calc notes lecture 10 - y respect to x and simplify your...

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Lecture Sections Objectives Assignment 10 2.5 The Chain Rule 2.5: 1-39 eoo. 45-63 eoo. 67, 69, 73 Understanding Goals: 1. To understand where the Chain Rule is used and to find derivatives using it. 2. To understand how to use the General Power Rule to find derivatives. 3. To be able to write derivatives in simplified form. 4. To understand the application of derivatives in real-life situations. 5. To understand how to use the differentiation rules to differentiate algebraic functions. Example 1 : Write each function as the composition of two functions: (a) 1 1 y x = - (b) 2 2 5 y x x = - + 1
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Example 2 : Find the derivative of
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Unformatted text preview: y respect to x and simplify your result, where 5 2 , 5 1 y u u u x x =-= + + . Example 3 : Find the derivative of ( 29 5 3 2 1 y x x =-+ . 2 Example 4 : Find the derivative of ( 29 4 2 3 2 y x x =-. Example 5 : Find the derivative of 2 2 3 1 ( ) 3 x f x x-= + . Example 6 : Find the derivative of ( 29 2 2 x h x x + =-using (a) the Quotient Rule and (b) the Chain Rule respectively. 3 Example 7 : Find the tangent line to the graph of 2 2 3 ( 4) y x = + when 2 x = . Example 8 : Find the derivative of 2 2 1 y x x =-and simplify it. 4 5...
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This note was uploaded on 04/17/2008 for the course MAT 111 taught by Professor Fan during the Spring '08 term at Union.

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calc notes lecture 10 - y respect to x and simplify your...

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