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Popular >

extreme xln(x)

Solution

extreme points

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

extreme f(x)=ln(7-5x^2)extreme points

f (x) = ln (7 - 5 x^{2})

domain of f(x)=sqrt(4x+5)domain

f (x) = 4 x + 5

symmetry y=2x^2 symmetry

y = 2 x^{2}

intercepts of y=tan(x)intercepts

y = tan (x)

inverse of f(x)= 1/(x-4)inverse

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

Frequently Asked Questions (FAQ)

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