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Find all the local maxima, local minima, and saddle points of f(x, y) = x3 − 3y2 + 3xy − 3y.

Answer» The function f(x, y) has local maxima at (-1, -1) and saddle pointat (1/2, -1/4).

Maxima and minima are very important topics in mathematics in which we can find the maximum or minimum value of a function using its derivatives.



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