Math – Partial Derivatives 1

A ________________ is the derivative of a function in two (or more) variables with respect to one variable, while holding all other variables _________. 2

3 partial derivative

A ________________ is the derivative of a function in two (or more) variables with respect to one variable, while holding all other variables _________. 4 partial derivative constant

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9 second-order partial derivatives

10 second-order partial derivatives

11 second-order partial derivatives mixed partials

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Sometimes a product can affect another product’s demand. For example, if more cans of Coke are sold, then less bottles of water are likely to be sold. So, Coke and water are said to be _____________________. If more hotdogs are sold, then more hotdog buns are likely to be sold. So, hotdogs and hotdog buns are said to be ___________________________. 13

Sometimes a product can affect another product’s demand. For example, if more cans of Coke are sold, then less bottles of water are likely to be sold. So, Coke and water are said to be _____________________. If more hotdogs are sold, then more hotdog buns are likely to be sold. So, hotdogs and hotdog buns are said to be ___________________________. 14

Sometimes a product can affect another product’s demand. For example, if more cans of Coke are sold, then less bottles of water are likely to be sold. So, Coke and water are said to be _____________________. If more hotdogs are sold, then more hotdog buns are likely to be sold. So, hotdogs and hotdog buns are said to be ___________________________. 15 substitute commodities

Sometimes a product can affect another product’s demand. For example, if more cans of Coke are sold, then less bottles of water are likely to be sold. So, Coke and water are said to be _____________________. If more hotdogs are sold, then more hotdog buns are likely to be sold. So, hotdogs and hotdog buns are said to be ___________________________. 16 substitute commodities

Sometimes a product can affect another product’s demand. For example, if more cans of Coke are sold, then less bottles of water are likely to be sold. So, Coke and water are said to be _____________________. If more hotdogs are sold, then more hotdog buns are likely to be sold. So, hotdogs and hotdog buns are said to be ___________________________. 17 substitute commodities complementary commodities

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