- Thread starter
- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,678

Let f be the function defined by

$f(x)=\dfrac{\ln x}{x}$ What is the absolute minimum value of f

a, 1

b. $\dfrac{1}{e}$

c. 0

d. e

e. none

ok I assume we take the derivative and then set it to zero

$\frac{1-\ln\left(x\right)}{x^{2}}=0$

$x=e$

$f(x)=\dfrac{\ln x}{x}$ What is the absolute minimum value of f

a, 1

b. $\dfrac{1}{e}$

c. 0

d. e

e. none

ok I assume we take the derivative and then set it to zero

$\frac{1-\ln\left(x\right)}{x^{2}}=0$

$x=e$

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