calc notes lecture 7

calc notes lecture 7 - '( ) f x = 1 (c) y t = , dy dt = (d)...

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Lecture Section s Objectives Assignment 7 2.2 Some Rules for Differentiation 2.2: 3, 5, 9, 13-53 eoo. 55, 57 Understanding Goals: 1. To understand how to use the Constant, Power, Constant Multiple, Sum and Difference Rules to find the derivatives of functions. 2. To understand how to use derivative to solve real-life problems. Example 1 : Find the derivate of the following functions: (a) 2 d dx = (b) ( ) 0 f x = , '( ) f x = (c) 1 y = , dy dx = (d) 1 ( ) 2 f t = , '( ) f t = Example 2 : Find the derivate of the following functions: (a) 5 ( ) f x x = , '( ) f x = (b) 5 1 ( ) f x x = ,
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Unformatted text preview: '( ) f x = 1 (c) y t = , dy dt = (d) 2 A x = , dA dx = Example 3 : If possible, find the slopes of the graph of 3 ( ) f x x = when 3, 0, 1 and 2. x = -Example 4 : Differentiate each function. (a) 3 3 y x = (b) 2 3 ( ) 4 x f x = (c) 2 1 3 y x-= (d) 2 1 (3 ) y x-= 2 Example 5 : Find the slope of the graph of 3 ( ) 4 2 f x x x =-+ at 1 x = . Example 6 : Find an equation of the tangent line to the graph of 4 3 1 ( ) 3 2 2 g x x x x = -+-at the point 3 1, 2- -. 3...
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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 7 - '( ) f x = 1 (c) y t = , dy dt = (d)...

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