Question

(a) Find all the second order partial derivatives of the following function. 

 

f(x, y) = x² - 8xy + y²

16 Nov 2025
Answer :
Word Count : 154
For the given function ( f(x, y) = x^2 - 8xy + y^2 ), we first find the first-order partial derivatives. The partial derivative with respect to (x) is ( f_x = \frac{\partial f}{\partial x} = 2x
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