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Unformatted text preview: Definition of the Derivative of a Function The derivative of f at x is given by Provided the limit exists. For all x for which the limit exists, is a function of x. h x f h x f x f h ) ( ) ( lim ) ( '+ = ' f Notations for derivative ] [ )] ( [ ' ) ( ' y D x f dx d y dx dy x f x Find the derivative by the limit process. #20 #24 2 3 ) ( x x x f + = x x f 4 ) ( = Find an equation of the tangent line to th graph of f at the given point. #26 (  3, 4) 1 2 ) ( 2 + + = x x x f #34 Find an equation of the line that is tangent to the graph of f and parallel to the given line. 2 ) ( 3 + = x x f 4 3 =y x Sketch the graph of f #46 What destroys the derivative at a point? a) Cusps b) Corners c) Vertical tangents And Points of Discontinuity Fact: If a function is differentiable at x=c, then f is continuous at x=c...
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 Spring '11
 PamelaSatterfield
 Derivative, Slope

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