Lecture_2_6and_2_7

# Lecture_2_6and_2_7 - Lecture Outline for Section 2.6 and...

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Lecture Outline for Section 2.6 and section 2.7 Derivatives and Rates of Change; The Derivative as a function Math 141 Extra Problems from text to work: 2.6 # 5,7,11,13,16,17,27, 30,43a and b 2.7 # 1, 3, 5,6, 23,25,27,35,37 The slope of the tangent line to a graph at a point is called the instantaneous rate of change or the derivative at that point. The tangent line to y = f ( x ) at point ( a , f ( a )) is the line whose slope is equal to " f ( a ) , the derivative of f at a . Picture: Talk about idea of slopes of the secant lines approach the slope of the tangent line IF as the distance between the two points goes to zero, the slopes of the secant lines approach the slope of the tangent line. Picture: Keep in mind from section 2.1; slope of a secant line is the average rate of change of a function over an interval; slope of a tangent line is the instantaneous rate of change of a function at a point.

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## This note was uploaded on 11/08/2011 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.

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Lecture_2_6and_2_7 - Lecture Outline for Section 2.6 and...

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