# Wicked Quick Question on Gradient

1. Dec 17, 2008

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=$|\nabla{f}(x_0,y_0)|$

And for the direction, if $\nabla{f}(x_0,y_0)=<a\, ,b\,>$ then the direction is:

$$\frac{<a\, ,b\,>}{|\nabla{f}(x_0,y_0)|}$$

Thanks!

2. Dec 17, 2008

Just a yes or no will do me.

3. Dec 17, 2008

Here it comes!

4. Dec 17, 2008

### Dick

5. Dec 17, 2008