What is the extreme f(x)=((4x-18))/((x-9)^2) ?

The extreme f(x)=((4x-18))/((x-9)^2) is Minimum(0,-2/9)

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extreme f(x)=((4x-18))/((x-9)^2)

extreme

Minimum (0, - \frac{2}{9})

Solution steps

f^{'} (x) = - \frac{4 x}{( x - 9 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 9,

Decreasing

: 9 < x < \infty

Plug

x = 0

into

\frac{4 x - 18}{( x - 9 ) ^{2}} : - \frac{2}{9}

Minimum (0, - \frac{2}{9})

What is the extreme f(x)=((4x-18))/((x-9)^2) ?
The extreme f(x)=((4x-18))/((x-9)^2) is Minimum(0,-2/9)