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Find the rate of change of volume of a cube wrt the length of an edge

Find the rate at which the volume of a cube changes with respect to the length of an edge of the cube.


The formula for the volume of a cube in terms of an edge is V(x) = x^3. So, the rate of change of the volume is the derivative of this with respect to x, or,

    \[ V'(x) = 3x^2. \]

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