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6 Nov 2019
Suppose f (x, y) = x/y, P = (-1,-4) and V = -4i + 4j. Find the gradient of f. f(x,y) = i+ J Note: Your answers should be expressions of x and y; e.g. "3x - 4y" Find the gradient of f at the point P. f) (p) = Note: Your answers should be numbers Find the directional derivative of f at P in the direction of V. Duf(P) = Note: Your answer should be a number Find the maximum rate of change of f at P. Note: Your answer should be a number Find the (unit) direction vector in which the maximum rate of change occurs at p. Show transcribed image text
Suppose f (x, y) = x/y, P = (-1,-4) and V = -4i + 4j. Find the gradient of f. f(x,y) = i+ J Note: Your answers should be expressions of x and y; e.g. "3x - 4y" Find the gradient of f at the point P. f) (p) = Note: Your answers should be numbers Find the directional derivative of f at P in the direction of V. Duf(P) = Note: Your answer should be a number Find the maximum rate of change of f at P. Note: Your answer should be a number Find the (unit) direction vector in which the maximum rate of change occurs at p.
Show transcribed image text