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Answers for “在解释该定理时,为什么 df/dx 的记号可能具有误导性?”

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The net-change formula states that for a continuously differentiable function on an interval, integrating its derivative gives the endpoint difference. Specifically, the integral of the derivative f′f' from aa to bb equals f(b)−f(a)f(b) - f(a).

Conditions: The function is continuously differentiable on the interval.; The integration is over the interval from aa to bb.