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Popular >

extreme f(x)= x/((x-1)^2)

Solution

extreme points

f (x) = \frac{x}{( x - 1 ) ^{2}}

Solution

Minimum (- 1, - \frac{1}{4})

Solution steps

f^{'} (x) = \frac{- 1 - x}{( x - 1 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

\frac{x}{( x - 1 ) ^{2}} : - \frac{1}{4}

Minimum (- 1, - \frac{1}{4})

Popular Examples

extreme f(x,y)=2^2x^4+2^2y^4-4xy+16 extreme points

f (x, y) = 2^{2} x^{4} + 2^{2} y^{4} - 4 x y + 16

extreme f(x)=Ix-3I-2 extreme points

f (x) = I x - 3 I - 2

extreme f(x)=-x^4-4x^3+7 extreme points

f (x) = - x^{4} - 4 x^{3} + 7

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

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

extreme f(x)=3x^2-6x+1 extreme points

f (x) = 3 x^{2} - 6 x + 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)= x/((x-1)^2) ?
The extreme f(x)= x/((x-1)^2) is Minimum(-1,-1/4)