Prove that the logarithmic function is strictly increasing on (0, ∞).
The given function is f(x) = logx
`:. f'(x) = 1/x`
It is clear that for x > 0, `f'(x) = 1/x > 0`
Hence, f(x) = log x is strictly increasing in interval (0, ∞).
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Solution Prove that the Logarithmic Function is Strictly Increasing on (0, ∞). Concept: Increasing and Decreasing Functions.