- #1
brendan
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Homework Statement
Find a unit vector in the direction in which f(x,y,z) = (x-3y+4z)1/2 increases most rapidly at P(0,-3,0), and find the rate of increase of f in that direction
Homework Equations
The Attempt at a Solution
I've calculated the unit vector to be <0,-1,0>
and the gradient to be <1/6,-1/2,2/3>
To find the directional derivative we find the dot product of <0,-1,0> . <1/6,-1/2,2/3> = 1/2
Do I than multiply that by cos(0)?
regards
Brendan