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    Applications of Derivatives Word Problems : Points of Inflection and Rates of Change

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    1. Find the point of inflection of the function described by f(x)= x^3- 6x^2+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 cm^3/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.

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    Solution Summary

    Points of inflection and rates of change are investigated. The solution is detailed and well presented.