- #1
musicmar
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Homework Statement
Find the unit vector e at P=(0,0,1) pointing in the direction along which f(x,y,z)=xz+e-x2+y increases most rapidly.
The Attempt at a Solution
In order to find the direction where f increases most rapidly, I found the second derivative of f.
I don't know how to put the curly d's in here, but
<(d2f/dx2,d2f/dy2,d2f/dz2>=<4e-x2+y,e-x2+y,0>
The second derivative should be zero where f increases the most rapidly, but I'm not sure what do do with the point or how to set the second derivative equal to zero from this point.