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Multivariable calculus

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)

Thank you

Solution Summary

This shows how to find the direction from in which a function decreases fastest.