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Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a continuously differentiable function. Suppose there exists $C \in \mathbb{R}$ such that $f$ is injective on ( $C, \infty$ ). Then there exists $D \in \mathbb{R}$ such that $f^{\prime}$ is injective on $(D, \infty)$.

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