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f(x, y) = 4 + x^3 + y^3 − 3xy (a,b)=(0.5,0.5) u = ( √ 1...

f(x, y) = 4 + x^3 + y^3 − 3xy

(a,b)=(0.5,0.5)

u = ( √ 1 /2 , − √ 1 /2 )

a) Calculate the rate of change of f along the curve r(t) = (t, t2 ), at t = −1

b)Classify the critical points of f using the second derivative test.

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