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\(\pi\)
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\(\frac{a}{b}\)
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Let \(f(x) = \frac{\ln x}{x}\) for \(x > 0\).
Show that the derivative is \(f'(x) = \dfrac{1-\ln x}{x^2}\).
Find the exact coordinates of the stationary point on the graph of \(y=f(x)\).
Using the first derivative test, determine the nature of this stationary point.
Find the global maximum and global minimum values of the function on the interval \([1, 4]\).
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