and interpret partial derivatives and total differentials. 1. Consider the function z = f(x,y). The objective...

  

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and interpret partial derivatives and total differentials. 1. Consider the function z = f(x,y). The objective of this activity is to denote a. Write three ways to denote the partial derivative of this function with respect to x. Write one sentence that explains what this partial derivative is telling us. b. Write three ways to denote the partial derivative of this function with respect to y. Write one sentence that explains what this partial derivative is telling us. C. Write one way to denote the total differential of this function. Write one sentence that explains what this total differential tells us. 2. Explain, in your own words, the link between taking a partial derivative of a function and the ceteris paribus assumption used in economics Practicing partial differentials. The objective of this activity is to practice identifying partial and total differentials. 3. For the following functions, find the partial derivatives with respect to x, y and w (if applicable); and write down the total differential. a. z = f(x, y) = 4xy2 b. z = f(x, y) = 2x - y c. z = f(x, y) = 2x - 3y3 + 4xy2 br d. z = f(x, y, w) = 2x - 3y3 + 4xy + 4w and interpret partial derivatives and total differentials. 1. Consider the function z = f(x,y). The objective of this activity is to denote a. Write three ways to denote the partial derivative of this function with respect to x. Write one sentence that explains what this partial derivative is telling us. b. Write three ways to denote the partial derivative of this function with respect to y. Write one sentence that explains what this partial derivative is telling us. C. Write one way to denote the total differential of this function. Write one sentence that explains what this total differential tells us. 2. Explain, in your own words, the link between taking a partial derivative of a function and the ceteris paribus assumption used in economics Practicing partial differentials. The objective of this activity is to practice identifying partial and total differentials. 3. For the following functions, find the partial derivatives with respect to x, y and w (if applicable); and write down the total differential. a. z = f(x, y) = 4xy2 b. z = f(x, y) = 2x - y c. z = f(x, y) = 2x - 3y3 + 4xy2 br d. z = f(x, y, w) = 2x - 3y3 + 4xy + 4w