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Unformatted text preview: f(a), is ( ) ( ) ( ) lim h f a h f a f a h + = provided this limit exists. An equivalent statement: ( ) ( ) ( ) lim x a f x f a f a x a  =. In General: The derivative of a function at a, denoted , f(a), gives us the slope of the tangent line at a . The derivative of a function f(x) at a, denoted f(a), also gives us an instantaneous rate of change. If s(t) represents the position of an object at time t , then the s(t) gives us the velocity of the object at time t  the instantaneous rate of change in s(t) at time t . Try Exercises 4, 10ab, 16ab, 18, 30, 32, 34, 38, 46a on pages 150152 in the textbook....
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This note was uploaded on 12/12/2011 for the course MAC 2311 taught by Professor Teague during the Spring '11 term at Santa Fe College.
 Spring '11
 Teague
 Calculus, Derivative, Slope

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