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Popular Functions >

extreme f(x)= 1/4 x-ln(x)

Solution

extreme

Solution

Minimum (4, 1 - 2 ln (2))

Solution steps

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

Find intervals:

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 4

into

\frac{1}{4} x - ln (x) : 1 - 2 ln (2)

Minimum (4, 1 - 2 ln (2))

Graph

Popular Examples

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extreme f(x)=-x^3+27x-62

Frequently Asked Questions (FAQ)

What is the extreme f(x)= 1/4 x-ln(x) ?
The extreme f(x)= 1/4 x-ln(x) is Minimum(4,1-2ln(2))