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Popular >

extreme f(x)=2x-ln(2x)

Solution

extreme points

f (x) = 2 x - ln (2 x)

Solution

Minimum (\frac{1}{2}, 1)

Solution steps

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

Find intervals:

Decreasing

: 0 < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

2 x - ln (2 x) : 1

Minimum (\frac{1}{2}, 1)

Popular Examples

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inverse of f(x)=-9x^2 inverse

f (x) = - 9 x^{2}

inverse of f(x)=x^{2/3}-15 inverse

f (x) = x^{\frac{2}{3}} - 15

inverse of (x-3)^3+2 inverse

(x - 3)^{3} + 2

Frequently Asked Questions (FAQ)

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