Mathematical economics : - ( Second order partial derivatives; Solving problems ) - 18. #econo mics

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The second-order partial derivative is obtained by differentiating the function concerning the indicated variables successively one after the other. If z = f(x, y) is a function in two variables, it can have four second-order partial derivatives, namely ∂2f / ∂x2, ∂2f / ∂y2, ∂2f / ∂x ∂y, and ∂2f / ∂y ∂​x​​​. To find them, we can first partially differentiate the function with the latter variable, and then partially differentiate the result concerning the former variable.

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