Answer to Question #343614 in Microeconomics for Yonas

Question #343614

Given the following function in two variables x and y


f(x, y) = x3y + 2x4 + y5


a. Find the Jacobean determinant at points P (3,2)

b. Find the Hessian determinant at points P (1,3)


1
Expert's answer
2022-05-23T10:17:21-0400

"f'_x=3x^2y+8x^3,"

"f'_y=x^3+5y^4,"

"f''_x=6xy+24x^2,"

"f''_y=20y^3,"

"f''_{xy}=3x^2."


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Comments

Yonas
23.05.22, 21:50

Thank you very much!

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