Find the rate of change of f at the point 1 pi6 in the
Let f (x,y) = x2 sin(2y)
a. Find the rate of change of f at the point (1, π/6) in the direction (4, - 3).
b. Find the vector u that maximises Duf (1, pi/6) and find the value of Duf (1, pi/6) for that u.
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