Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions.
f(x,y,z) = ln(xy) + 3ln(yz) + 4ln(xz), P0(1,1,1)
In which direction does the function increase most rapidly? Fill in the blank
u = ( )i + ( )j + ( )k
In which direction does the function decrease most rapidly? Fill in the blank
-u = ( )i + ( )j + ( )k
What is the value of the derivative in the direction of u?
(Duf)P0 = []
What is the value of the derivative in the direction of -u?
(D-uf)P0 = []