Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. a. If V is the volume of such a cube with side length x, calculate dV/dx when x = 3 mm and explain its meaning (be specific). b. Show that the rate of change of the volume of a cube with respect to its edge length is equal to half the surface area of the cube.

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