What is the inflection-(36(x-1))/((x+3)^3) ?

The inflection-(36(x-1))/((x+3)^3) is (5,-9/32)

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inflection-(36(x-1))/((x+3)^3)

inflection points

- \frac{36 ( x - 1 )}{( x + 3 ) ^{3}}

(5, - \frac{9}{32})

Solution steps

f^{''} (x) = \frac{216 ( - x + 5 )}{( x + 3 ) ^{5}}

Find intervals:

Concave Downward

: - \infty < x < - 3,

Concave Upward

: - 3 < x < 5,

Concave Downward

: 5 < x < \infty

Plug

x = 5

into

- \frac{36 ( x - 1 )}{( x + 3 ) ^{3}} : - \frac{9}{32}

(5, - \frac{9}{32})

What is the inflection-(36(x-1))/((x+3)^3) ?
The inflection-(36(x-1))/((x+3)^3) is (5,-9/32)