I am given some function f(x,y) and I am asked to find what the maximal rate of change is at some point (x(adsbygoogle = window.adsbygoogle || []).push({}); _{0}y_{0}) 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!

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