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Consider the following. f(x, y) = x/y,    P(4, 1),    u = 3 5  i + 4 5  j...

Consider the following.

f(x, y) = x/y,    P(4, 1),    u =

3
5

 i +

4
5

 j

(a) Find the gradient of f.

(b) Evaluate the gradient at the point P.

(c) Find the rate of change of f at P in the direction of the vector u.

Math   Calculus   
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Answer #1

At first we calculate the gradient of the given function at the point (4,1). Then we find out rate of change of f (x,y) at the point p in the direction of the vector.

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