Consider the function f(x, y) = 7/x² + y² at the point P = (4, – 3). (a) Find the gradient of f and also evaluate the gradient at P = (4, – 3): V f(r, y) = (| V f(4, – 3) = ( (b) Find a vector i that points in the direction in which f increases most rapidly at P = (4, – 3): [Any positive scalar multiple of the answer shown in the key is acceptable.] (c) Find the rate of change in this direction, that is find the directional derivative in the direction of largest increase: Dúf(4, – 3) =

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A: topic - gradient of a function

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A: Please refer the attached image for complete solution. THANK YOU. NOTE: As  per Bartleby guidlines I…

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