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Answers for “导数与平均变化率有何不同？”

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When the finite limit exists, f′(x)=lim⁡h→0f(x+h)−f(x)hf'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. We do not substitute h=0h=0 directly into the quotient; we evaluate its limit.

Conditions: The finite limit must exist.; hh approaches zero.

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