Question 1) Find the direction from (-3, 1, 2), in which g(x,y,z)=x^2*y*z-2*z^3 decreases fastest.
question 2) Follow the line in the direction you found in part 1) to estimate, using linear approximation, the location of the point closest to the coordinates (-3,1,2) at which g=1;Do not use a calculator; Express the answer using fractions. Next, use a calculator to evaluate g at your point.(the value should be reasonnably close to 1)
This shows how to find the direction from in which a function decreases fastest.