## anonymous 5 years ago Find the directional derivative, fv , of f (x, y) = (6x − 2y)^(1/2) at the point (2, −3) in the direction v = i − j

1. anonymous

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2. anonymous

We are going to show, $D_{(1,-1)}f(2,-3) = \lim_{t->0}\frac{f((-2,3) + t(1,-1)) - f(-2,3)}{t}$

3. anonymous

So the first term becomes that f(-2+t, 3-t) Evauated the function at both those points, and show the limit that will be your directional derivative