Verify that \( \frac{d}{d x}(\mathrm{AC})=\frac{1}{x}(\mathrm{MC}-\mathrm{AC}) \) for \[ C(x)=\f...

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Verify that \( \frac{d}{d x}(\mathrm{AC})=\frac{1}{x}(\mathrm{MC}-\mathrm{AC}) \) for
\[
C(x)=\frac{5 x^{2}}{\sqrt{x^{2}+3}}+600
\]
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