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Popular >

extreme f(x)=xln(x)

Solution

extreme points

f (x) = x ln (x)

Solution

Minimum (\frac{1}{e}, - \frac{1}{e})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e}

into

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

Minimum (\frac{1}{e}, - \frac{1}{e})

Popular Examples

inverse of r(n)= 1/(n-1)inverse

r (n) = \frac{1}{n - 1}

range of e^{x^2-2x-3}range

e^{x^{2} - 2 x - 3}

domain of f(x)=(x-13)/2 domain

f (x) = \frac{x - 13}{2}

range of f(x)=(-3)/(x-2)range

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

range of f(x)= 2/(x^2-2x-3)range

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

Frequently Asked Questions (FAQ)

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