# 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

https://brainmass.com/math/derivatives/derivatives-rate-change-properties-of-functions-141694

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