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Popular >

extreme f(x)=xln(x)-x

Solution

extreme points

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

Solution

Minimum (1, - 1)

Solution steps

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

Find intervals:

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

x ln (x) - x : - 1

Minimum (1, - 1)

Popular Examples

extreme f(x)=6+3x-3x^2,0<= x<= 3 extreme points

f (x) = 6 + 3 x - 3 x^{2}, 0 \leq x \leq 3

extreme (x^2+x)/(x-1)extreme points

\frac{x ^{2} + x}{x - 1}

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extreme f(x)=9sin^2(x)+9sin(x)extreme points

f (x) = 9 sin^{2} (x) + 9 sin (x)

extreme h(x)=-6x^3+18x^2+3 extreme points

h (x) = - 6 x^{3} + 18 x^{2} + 3

Frequently Asked Questions (FAQ)

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