What is the inflection x^4-12x^3+48x^2-64x ?

The inflection x^4-12x^3+48x^2-64x is (2,-16),(4,0)

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inflection x^4-12x^3+48x^2-64x

inflection

(2, - 16), (4, 0)

Solution steps

f^{''} (x) = 12 x^{2} - 72 x + 96

Find intervals:

Concave Upward

: - \infty < x < 2,

Concave Downward

: 2 < x < 4,

Concave Upward

: 4 < x < \infty

Plug

x = 2

into

x^{4} - 12 x^{3} + 48 x^{2} - 64 x : - 16

(2, - 16)

Plug

x = 4

into

x^{4} - 12 x^{3} + 48 x^{2} - 64 x : 0

(4, 0)

(2, - 16), (4, 0)

What is the inflection x^4-12x^3+48x^2-64x ?
The inflection x^4-12x^3+48x^2-64x is (2,-16),(4,0)