# SurCalCh2Sec4 - times the derivative of the numerator FIRST...

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2.4—The Product and Quotient Rules TV, S01 Product Rule [] ) ( ' ) ( ) ( ' ) ( ) ( ) ( x f x g x g x f x g x f dx d + = In other words, the derivative of a product of two functions is the first function times the derivative of the second function plus the second function times the derivative of the first. Note: For the product rule it doesn’t matter which part you put first since there is a +sign between. #12 #18 Quotient Rule [] 2 ) ( ) ( ' ) ( ) ( ' ) ( ) ( ) ( x g x g x f x f x g x g x f dx d = The derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator. ( lolo hidlo lodhi ) Note: For the quotient rule it makes a big difference which part you do first. You must do the denominator

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Unformatted text preview: times the derivative of the numerator FIRST or you will get the wrong answer since there is a minus sign between terms. #28 #32 DEFINITION Average Cost per unit= x x C x AC ) ( ) ( = . Similar definitions apply for Average Revenue and Average Profit. Marginal average cost is the rate at which average cost is changing, = x x C dx d x MAC ) ( ) ( Marginal Average Revenue is the rate at which Average Revenue is changing, = x x R dx d x MAR ) ( ) ( Marginal Average Profit is the rate at which Average Profit is changing, = x x P dx d x MAP ) ( ) ( #48 #50...
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## This note was uploaded on 01/12/2012 for the course MATH 2043 taught by Professor Pamelasatterfield during the Fall '05 term at NorthWest Arkansas Community College.

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SurCalCh2Sec4 - times the derivative of the numerator FIRST...

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