MATH 16A QUIZ 4-
(1) Find the point (x, y) on the curve y = x2 for which 2x + y is minimized, and explain why it is an absolute minimum.
(2) I have 200 feet of fencing to construct a rectangular fence for my cows. I want both the length and width of my fence to be at least 2 feet. What is the smallest area I can enclose?
(3) Find the derivative of f(x) = 4√x(2x2 - 1)3.
(4) Find the derivative of f(x) = (x3-1/x3+1) at x = 0.