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    Derivatives, Rate of Change and Properties of Functions

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    1. A spherical bubble is expanding at a rate of 60pi cm3. How fast is the surface area of the bubble expanding when the radius of the bubble is 4 cm?

    2. Identify the following features of the graphs:

    -the intercepts
    -domain and range
    -any symmetry
    -vertical and/or horizontal asymptotes
    -the coordination of any stationary points, classify them as max or min points
    -the coordinates of any points of inflection and intervals of concavity

    Here are the graphs:

    f(x) = x4 - 3x2 + 3/8x - 1
    f(x) = x4 +2x3 - 2x2 +1

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    Solution Summary

    Derivatives, Rate of Change and Properties of Functions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.