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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 6 · Set 2 · Q23
Determine those values of x for which f ( x )=2/x-5, x ≠ 0 is increasing or decreasing.
Determine those values of x for which $\displaystyle \mathrm{f}(\mathrm{x})=\frac{2}{\mathrm{x}}-5, \mathrm{x} \neq 0$ is increasing or decreasing.
Marking-scheme solution
\[\mathrm{f}^{\prime}(\mathrm{x})=\frac{-2}{\mathrm{x}^{2}}<0
\]
Hence f is decreasing in its domain.
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