What is the inflection f(x)=x^4+4x^3-18x^2 ?

The inflection f(x)=x^4+4x^3-18x^2 is (-3,-189),(1,-13)

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inflection f(x)=x^4+4x^3-18x^2

inflection points

f (x) = x^{4} + 4 x^{3} - 18 x^{2}

(- 3, - 189), (1, - 13)

Solution steps

f^{''} (x) = 12 x^{2} + 24 x - 36

Find intervals:

Concave Upward

: - \infty < x < - 3,

Concave Downward

: - 3 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 3

into

x^{4} + 4 x^{3} - 18 x^{2} : - 189

(- 3, - 189)

Plug

x = 1

into

x^{4} + 4 x^{3} - 18 x^{2} : - 13

(1, - 13)

(- 3, - 189), (1, - 13)

What is the inflection f(x)=x^4+4x^3-18x^2 ?
The inflection f(x)=x^4+4x^3-18x^2 is (-3,-189),(1,-13)