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Consider f(x, y) = (x ^2)y + 3xy − x(y^2) and point P (1, 0). Find...

Consider
f(x, y) = (x ^2)y + 3xy − x(y^2)

and point P (1, 0).

Find the directional derivative of f at P in the direction of ⃗v = 〈1, 1〉. Starting from P , in what direction does f have the maximal rate of change? Calculate the maximal rate of change

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