- #1
Saladsamurai
- 3,020
- 7
I am given some function f(x,y) and I am asked to find what the maximal rate of change is at some point (x0y0) and the direction in which it occurs.
Is this correct: Maximal rate of change=[itex]|\nabla{f}(x_0,y_0)|[/itex]
And for the direction, if [itex]\nabla{f}(x_0,y_0)=<a\, ,b\,>[/itex] then the direction is:
[tex]\frac{<a\, ,b\,>}{|\nabla{f}(x_0,y_0)|}[/tex]
Thanks!
Is this correct: Maximal rate of change=[itex]|\nabla{f}(x_0,y_0)|[/itex]
And for the direction, if [itex]\nabla{f}(x_0,y_0)=<a\, ,b\,>[/itex] then the direction is:
[tex]\frac{<a\, ,b\,>}{|\nabla{f}(x_0,y_0)|}[/tex]
Thanks!