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Popular >

inflection (x^2-3x)/((x-2)^2)

Solution

inflection points

\frac{x ^{2} - 3 x}{( x - 2 ) ^{2}}

Solution

(8, \frac{10}{9})

Solution steps

f^{''} (x) = - \frac{2 ( - x + 8 )}{( x - 2 ) ^{4}}

Find intervals:

Concave Downward

: - \infty < x < 2,

Concave Downward

: 2 < x < 8,

Concave Upward

: 8 < x < \infty

Plug

x = 8

into

\frac{x ^{2} - 3 x}{( x - 2 ) ^{2}} : \frac{10}{9}

(8, \frac{10}{9})

Popular Examples

domain of 1/(sqrt(x^2-8x))domain

\frac{1}{x ^{2} - 8 x}

extreme f(x)=xe^{-x^2}extreme points

f (x) = x e^{- x^{2}}

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

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

domain of f(x)=\sqrt[5]{x+3}domain

asymptotes of f(x)=(2e^x)/(e^x-2)asymptotes

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

Frequently Asked Questions (FAQ)

What is the inflection (x^2-3x)/((x-2)^2) ?
The inflection (x^2-3x)/((x-2)^2) is (8, 10/9)