Question

The direction in which the function f(x,y,z)=ln(x^2+y^2−1)+y+6z increases most rapidly at (1,1,0) is

Answer 1

Step-by-step explanation:

∆f/∆x = ( 1/2)2 = 1

∆f/∆y = (1/2)2 + 1 = 2

∆f/∆z = (1/1) +6 = 7

Thus the function increases most rapidly in Z- direction.