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Popular >

extreme f(x)=xln(x/4)

Solution

extreme points

f (x) = x ln (\frac{x}{4})

Solution

Minimum (\frac{4}{e}, - \frac{4}{e})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{4}{e}

into

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

Minimum (\frac{4}{e}, - \frac{4}{e})

Popular Examples

extreme x^{4-50x^2}extreme points

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extreme-0.06x^2-0.02y^2-1.5xy+85x+69y extreme points

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extreme f(x,y)=x^2+xy+4x+4y-3 extreme points

f (x, y) = x^{2} + x y + 4 x + 4 y - 3

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- 8 a t x = 5

extreme f(x)=1-7x^2,-3<= x<= 1 extreme points

f (x) = 1 - 7 x^{2}, - 3 \leq x \leq 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xln(x/4) ?
The extreme f(x)=xln(x/4) is Minimum(4/e ,-4/e)