Answer:
Step-by-step explanation:
Maximum rate of change of a function f(x,y) is expressed as the gradient of such function at the given point. Gradient of a function is expressed as;
∇f(x,y) =
Given f(x,y)=ln(x²+y²) at the point (-2, 2)
<em>Hence the maximum rate of range of the function at the point (-2,2) is </em><em></em>
To get the direction, we willl use the formula;
From the vector gotten, x = -1/2 and y = 1/2
<em>Since tan theta is negative in the second quadrant, the direction in which it occurs will be 180-45 = 135°</em>