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Popular Functions >

extreme (ln(4x))/x

Solution

extreme

Solution

Maximum (\frac{e}{4}, \frac{4}{e})

Solution steps

f^{'} (x) = \frac{1 - ln ( 4 x )}{x ^{2}}

Find intervals:

Increasing

: 0 < x < \frac{e}{4},

Decreasing

: \frac{e}{4} < x < \infty

Plug

x = \frac{e}{4}

into

\frac{ln ( 4 x )}{x} : \frac{4}{e}

Maximum (\frac{e}{4}, \frac{4}{e})

Graph

Popular Examples

extreme f(x)= 4/(x-3)

extreme f(x,y)=x^2+2y^2+2x-3

extreme f(x)=19+4x-x^2

extreme f(x,y)=x^3+3x^2y+y^3-y

extreme f(x)=e^x+e^{-x}

Frequently Asked Questions (FAQ)

What is the extreme (ln(4x))/x ?
The extreme (ln(4x))/x is Maximum(e/4 , 4/e)