What is the inflection-x^4+12x^3-12x+13 ?

The inflection-x^4+12x^3-12x+13 is (0,13),(6,1237)

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inflection-x^4+12x^3-12x+13

inflection

(0, 13), (6, 1237)

Solution steps

f^{''} (x) = - 12 x^{2} + 72 x

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < 6,

Concave Downward

: 6 < x < \infty

Plug

x = 0

into

- x^{4} + 12 x^{3} - 12 x + 13 : 13

(0, 13)

Plug

x = 6

into

- x^{4} + 12 x^{3} - 12 x + 13 : 1237

(6, 1237)

(0, 13), (6, 1237)

What is the inflection-x^4+12x^3-12x+13 ?
The inflection-x^4+12x^3-12x+13 is (0,13),(6,1237)