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Show that f(x) = 1/(1+x2) is decreasing for all x ≥ 0 |
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Answer» Consider f(x) = \(\frac{1}{(1+x^2)}\), f'(x) = \(-\frac{2x}{(1+x^2)^2}\) for x ≥ 0, f’(x) is -ve. hence function is decreasing for x ≤ 0 |
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