1. Findthe point ofinfiection of the function describedby f(x)= x3- 6x2+12x- 4. Apply an appropriate test to mate sure it is a point of inflection you found.
2. A large cube of ice is melting so that its volume, V. is decreasing at the rate of 60 cm3/s. Find the rate at which each side, x, of the cube is decreasing at the moment when the length of each side is 20 cm.
keywords: differentiate, differentiation
Points of Inflection and Rates of Change are investigated. The solution is detailed and well presented.