Applications of Derivatives 1. Determine f4 (x) given f (x) = -x6 + x5 +7x -8 2. Given f (x) = -4x + 5, g(x) = 5x2 - 3x + 8, determine the derivatives of the following function Simplify your solutions. a ) (f x g) (x) b ) (f : g) (x ) c) (fog) (x) d) (g . f) (x) 3. A piece of sheet metal, 50cm by 20cm is to be used to make a rectangular box with an open top. Determine the dimensions that will give the box with the largest volume