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Question
If the volume of a cube of side length x is v = x3. Find the rate of change of the volume with respect to x when x = 5 units
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Solution
Volume of a cube v = x3
Rate of change `"dv"/("d"x)` = 3x2
When x = 5 units
`"dv"/("d"x)` = 3(5)2
= 3(25)
= 75 units
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