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Popular >

extreme (ln(x))/(6x)

Solution

extreme points

\frac{ln ( x )}{6 x}

Solution

Maximum (e, \frac{1}{6 e})

Solution steps

f^{'} (x) = \frac{1 - ln ( x )}{6 x ^{2}}

Find intervals:

Increasing

: 0 < x < e,

Decreasing

: e < x < \infty

Plug

x = e

into

\frac{ln ( x )}{6 x} : \frac{1}{6 e}

Maximum (e, \frac{1}{6 e})

Popular Examples

extreme f(x)=9sin^2(x)+9sin(x)extreme points

f (x) = 9 sin^{2} (x) + 9 sin (x)

extreme h(x)=-6x^3+18x^2+3 extreme points

h (x) = - 6 x^{3} + 18 x^{2} + 3

extreme F(x)=(2x)/(x^2+16),-8<= x<= 8 extreme points

F (x) = \frac{2 x}{x ^{2} + 16}, - 8 \leq x \leq 8

extreme-(9/2)^2-7^2+9/2-14+3 extreme points

- (\frac{9}{2})^{2} - 7^{2} + \frac{9}{2} - 14 + 3

extreme x(sqrt(8-x^2))extreme points

x (8 - x^{2})

Frequently Asked Questions (FAQ)

What is the extreme (ln(x))/(6x) ?
The extreme (ln(x))/(6x) is Maximum(e, 1/(6e))