Consider the following function which is defined for all x and y: ƒ(x, y) = 2(1 − p²)x²y² − x² - y² + 3pxy + 2x+4y+2 where p is a constant. (a) Find the first order derivatives of f and enter them as functions of x, y and (b) Find the second order derivatives of f and enter them as functions of x, y and p (c) For p = 1, find the stationary point (x,y*).

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