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4.1 - MATH1081 Wednesday,February9 Chapter4Section1...

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MATH 1081 Wednesday, February 9 Chapter 4 – Section 1 TECHNIQUES FOR FINDING DERIVATIVES Homework #4 (due 2/14): Section 3.4 #18, 48, 56 Section 4.1 #34, 56, 62, 72 Clicker Check-in : Choose any letter to check in now.
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Last time, we defined the derivative function f ' x ( ) as a limit. In particular, when the limit exists, f ' x ( ) = lim h 0 f x + h ( ) f x ( ) h . By the way it is defined, it is not difficult to understand the relationship between the derivative function and the slope of the tangent line to a curve at a point (and other interpretations of the rate of change of a function at a point).
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The act of finding a derivative is called differentiation . Because of the history of the development of calculus, as well as the various fields with applications requiring calculus, the notation signifying the derivative of a function does vary. Some common notations that we will see in this class are f ' x ( ) dy dx d dx f x ( ) D x f x ( ) .
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For the purpose of actually finding the derivative f ' x ( ) of a
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