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Popular Functions >

inflection x/((x-1)^2)

Solution

inflection points

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

Solution

(- 2, - \frac{2}{9})

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < - 2,

Concave Upward

: - 2 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 2

into

\frac{x}{( x - 1 ) ^{2}} : - \frac{2}{9}

(- 2, - \frac{2}{9})

Graph

Popular Examples

asymptotes of f(x)= x/(x(x-7))

a sy m pt o t es f (x) = \frac{x}{x ( x - 7 )}

range of (x^2-4)/(x^3)

r an g e \frac{x ^{2} - 4}{x ^{3}}

amplitude of f(t)=-1/2 sin(3t-2pi)

am pl i t u d e f (t) = - \frac{1}{2} sin (3 t - 2 π)

inflection f(x)=2x^3-3x^2+9x-3

in f l ec t i o n f (x) = 2 x^{3} - 3 x^{2} + 9 x - 3

critical f(x)=x^2(x^2-4)

cr i t i c a l f (x) = x^{2} (x^{2} - 4)

Frequently Asked Questions (FAQ)

What is the inflection x/((x-1)^2) ?
The inflection x/((x-1)^2) is (-2,-2/9)