What is the inflection x^4+2x^3-12x^2+1 ?

The inflection x^4+2x^3-12x^2+1 is (-2,-47),(1,-8)

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inflection x^4+2x^3-12x^2+1

inflection points

x^{4} + 2 x^{3} - 12 x^{2} + 1

(- 2, - 47), (1, - 8)

Solution steps

f^{''} (x) = 12 x^{2} + 12 x - 24

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 2

into

x^{4} + 2 x^{3} - 12 x^{2} + 1 : - 47

(- 2, - 47)

Plug

x = 1

into

x^{4} + 2 x^{3} - 12 x^{2} + 1 : - 8

(1, - 8)

(- 2, - 47), (1, - 8)

What is the inflection x^4+2x^3-12x^2+1 ?
The inflection x^4+2x^3-12x^2+1 is (-2,-47),(1,-8)