What is the maximum rate of change of f(x,y) = ln(x^2 + y^2) at the point (-1, 1) and the direction in which it occurs?
I got grad f = (2/x, 2/y)
gradf(-1,1)=(-2,2)
I thought abs(gradf(-1,1)) was maximum gradiant change...Which would be sqrt(8) ?
Check your(my) math...gradf=((2x)/(x^2+y^2), (2y)/(x^2+y^2))
I got
I thought
Check your(my) math...
1 Answer
Jan 25, 2018
When given two dimensional function
and the direction is:
Explanation:
Compute
Evaluate at the point
Compute the magnitude:
The maximum rate of change is