The derivative f gives the (absolute) rate of change of a quantity f, and f /f gives the

Chapter 0, Problem 121

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The derivative f gives the (absolute) rate of change of a quantity f, and f /f gives the relative rate of change of the quantity. In this problem, we show that the product rule is equivalent to an additive rule for relative rates of change. Assume h = f g with f = 0 and g = 0.

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