What is the inflection (x^2+6)(36-x^2) ?

The inflection (x^2+6)(36-x^2) is (-sqrt(5),341),(sqrt(5),341)

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inflection (x^2+6)(36-x^2)

inflection points

(x^{2} + 6) (36 - x^{2})

(- 5, 341), (5, 341)

Solution steps

f^{''} (x) = - 4 (3 x^{2} - 15)

Find intervals:

Concave Downward

: - \infty < x < - 5,

Concave Upward

: - 5 < x < 5,

Concave Downward

: 5 < x < \infty

Plug

x = - 5

into

(x^{2} + 6) (36 - x^{2}) : 341

(- 5, 341)

Plug

x = 5

into

(x^{2} + 6) (36 - x^{2}) : 341

(5, 341)

(- 5, 341), (5, 341)

What is the inflection (x^2+6)(36-x^2) ?
The inflection (x^2+6)(36-x^2) is (-sqrt(5),341),(sqrt(5),341)