Suppose f (x, y) = , P = (2, -1) and v = Y A. Find the gradient of f. (Vf)(x, y) = = i+ j Note: Your answers should be e

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Suppose F X Y P 2 1 And V Y A Find The Gradient Of F Vf X Y I J Note Your Answers Should Be E 1 (227.17 KiB) Viewed 7 times

Suppose f (x, y) = , P = (2, -1) and v = Y A. Find the gradient of f. (Vf)(x, y) = = i+ j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (▼ ƒ) (P) = i+ Note: Your answers should be numbers = li + 1j. C. Find the directional derivative of f at P in the direction of v. (Duf)(P) = Note: Your answer should be a number D. Find the maximum rate of change of f at P. Note: Your answer should be a number W = j E. Find the (unit) direction vector w in which the maximum rate of change occurs at P. i+ j Note: Your answers should be numbers