Question

Find the maximum rate of change of f(x; y) = 4y p x at the point (4,1) and the direction in which it occur

Answer 1

16p

Direction: positive/upward direction

Explanation:

First, the function is f(x,y) = 4ypx

At the point where x=4 and y=1, the maximum rate of change of the function f(x,y) is

4(1)p(4) = 16p

The direction in which it occurs is the positive(upward) direction