Find the linearization L(x,y) of the function f(x, y) = (x + y + 2)2 at the point (1, 2)
Question
Solution 1
The linearization of a function at a given point is given by the formula:
L(x, y) = f(a, b) + f_x(a, b)(x - a) + f_y(a, b)(y - b)
where (a, b) is the point at which we are linearizing, f_x and f_y are the partial derivatives of f with respect to x and y, respectively.
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