Assignment:
Consider the function :
f(x,y) = x(x-1)(x-2) + (y-1)(x-y)
Q1. Find the maximum and the minim values of the directional derivative (df/ds)]u at ( 1 , 3/2 ) as u varies .
Q2. In which direction(s) "u", the maximum and the minimum occur?.
Q3. What are the directions "u" for which (df/ds)u]=0.
Provide complete and step by step solution for the question and show calculations and use formulas.