(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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

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# Directional derivatives

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