A derivable function \( \mathrm{f}: \mathbb{R}^{+} \rightarrow \mathbb{R} \) satisfies the condi...

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A derivable function \( \mathrm{f}: \mathbb{R}^{+} \rightarrow \mathbb{R} \) satisfies the condition \( \mathrm{f}(\mathrm{x})-\mathrm{f}(\mathrm{y}) \geq \ell \mathrm{n}(\mathrm{x} / \mathrm{y})+\mathrm{x}-\mathrm{y} \) for every
\( \mathrm{P} \) \( x, y \in \mathbb{R}^{+} \). If \( g \) denotes the derivative of \( f \) then compute the value of the \( \operatorname{sum} \sum_{n=1}^{100} g\left(\frac{1}{n}\right) \).

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