Problem 4. Let (a) Find the gradient of f. f(x, y) = 1+2xy (b) Find the...
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Problem 4. Let (a) Find the gradient of f. f(x, y) = 1+2xy (b) Find the directional derivative of f at (xo, yo) = (18,9) in direction of = (1,3). (c) Find the maximal rate of change at (xo, yo) = (18,9) and the direction in which it occurs, (d) In which direction is the rate of change equal to -6? Problem 4. Let (a) Find the gradient of f. f(x, y) = 1+2xy (b) Find the directional derivative of f at (xo, yo) = (18,9) in direction of = (1,3). (c) Find the maximal rate of change at (xo, yo) = (18,9) and the direction in which it occurs, (d) In which direction is the rate of change equal to -6?
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