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Popular >

extreme y=xln(x)

Solution

extreme points

y = 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})

Graph

Popular Examples

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extreme f(x,y)=xye^{xy}extreme points

f (x, y) = x y e^{x y}

extreme f(x,y)=x+y extreme points

f (x, y) = x + y

extreme f(x)=x+yx^3 extreme points

f (x) = x + y x^{3}

extreme f(x)=-x^4+8x^2-10 extreme points

f (x) = - x^{4} + 8 x^{2} - 10

Frequently Asked Questions (FAQ)

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