Lecture 3_1Math141

Lecture 3_1Math141 - a y = 30 b s = t 100 3 Power in general is true for powers that are all real numbers(we’ll be able to prove this later 4

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Lecture 3.1 – Rules for differentiation polynomial and exponential functions Wed, Feb.6 th Math 141 * *Any questions about the grading of Test 1 must be submitted in writing to the grader by the end of class today!** Reminders: No class Thursday – take the class time to work on Maple/ Webasigns Sec.2.8 and 2.9 Webassigns are due Thursday, Feb 7 th Maple is due Friday – check the time! No extensions are available for Maple. Def’n of Derivative: 1. Derivative of y = constant 2. Derivative of a power function: y = x n (uses binomial expansion theorem) examples : Differentiate the function
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Unformatted text preview: a. y = 30 b. s = t 100 3. Power in general is true for powers that are all real numbers (we’ll be able to prove this later) 4. From our “Limit Laws” (reference 2.3 page 108 in the text) we have “constant multiple” rule for derivatives d dx cf ( x ) = “sum and difference” rule for derivatives d dx ( f g ) = Lots of examples using the rules: 5. Derivatives of exponential functions f ( x ) = c x Write down the derivative using the definition: More examples using the derivatives of both polynomial and exponential functions....
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This note was uploaded on 04/12/2008 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.

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Lecture 3_1Math141 - a y = 30 b s = t 100 3 Power in general is true for powers that are all real numbers(we’ll be able to prove this later 4

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