Question

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

Answer 1

flutterin gay

Answer 2

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

Answer 3

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