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Popular >

extreme (x-1)ln(x-1)

Solution

extreme points

(x - 1) ln (x - 1)

Solution

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

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e} + 1

into

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

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

Popular Examples

extreme log_{10}(1-x^2)extreme points

lo g_{10} (1 - x^{2})

extreme x^3+y^3-4xy+1 extreme points

x^{3} + y^{3} - 4 x y + 1

extreme x^{1/3}(1-x)extreme points

x^{\frac{1}{3}} (1 - x)

extreme x^2-2xy+3y^2-12y extreme points

x^{2} - 2 x y + 3 y^{2} - 12 y

extreme f(x)=2x^3+4x^2+2/1 x extreme points

f (x) = 2 x^{3} + 4 x^{2} + \frac{2}{1} x

Frequently Asked Questions (FAQ)

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