could anyone help me with part c plz
Suppose f(x, y) = x/y, P = (0, 4) and v = -2i - 1j. Find the gradient of f. delta f = 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. (delta f) (P) = i+ j Note: Your answers should be numbers Find the directional derivative of f at P in the direction of V. Duf = 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. u = i + j Note: Your answers should be numbers
Show transcribed image text Suppose f(x, y) = x/y, P = (0, 4) and v = -2i - 1j. Find the gradient of f. delta f = 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. (delta f) (P) = i+ j Note: Your answers should be numbers Find the directional derivative of f at P in the direction of V. Duf = 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. u = i + j Note: Your answers should be numbers