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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaEasy2 minQB

MathematicsEasynumerical

Let $f (x) = e^{x} / x$ . If $f (x) = k$ has two distinct real solutions, find the smallest integer $k$ .

Answer:

3.00

Solution:

On $(0, \infty), f' = e^{x} (x - 1) / x^{2}$ , so the minimum is $f (1) = e$ . A horizontal line has two positive intersections for $k > e$ ; the smallest integer is 3.

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima

⏱ 2mℹ️ Source: QB

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